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Finding the Fourth Proportional to 22,135.44, 30,546.90 and 12,199.44

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Solution

The fourth proportional to 22,135.44, 30,546.90 and 12,199.44 is: 16,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.44 : 30,546.90 = 12,199.44 : x
  2. Step 2: Convert to fraction form
    22,135.44/30,546.90 = 12,199.44/x
  3. Step 3: Cross multiply
    22,135.44x = 30,546.90 × 12,199.44
  4. Step 4: Simplify right side
    22,135.44x = 372,655,073.74
  5. Step 5: Solve for x
    x = 372,655,073.74/22,135.44
  6. Step 6: Final answer
    x = 16,835.22

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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.