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Finding the Fourth Proportional to 22,133.44, 30,544.14 and 12,197.44

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Solution

The fourth proportional to 22,133.44, 30,544.14 and 12,197.44 is: 16,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.44 : 30,544.14 = 12,197.44 : x
  2. Step 2: Convert to fraction form
    22,133.44/30,544.14 = 12,197.44/x
  3. Step 3: Cross multiply
    22,133.44x = 30,544.14 × 12,197.44
  4. Step 4: Simplify right side
    22,133.44x = 372,560,284.38
  5. Step 5: Solve for x
    x = 372,560,284.38/22,133.44
  6. Step 6: Final answer
    x = 16,832.46

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Half scale
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Double scale
Find fourth proportional to 22,134.44, 30,545.52 and 12,198.44
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.