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Finding the Fourth Proportional to 22,202.76, 30,639.80 and 12,266.76

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Solution

The fourth proportional to 22,202.76, 30,639.80 and 12,266.76 is: 16,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.76 : 30,639.80 = 12,266.76 : x
  2. Step 2: Convert to fraction form
    22,202.76/30,639.80 = 12,266.76/x
  3. Step 3: Cross multiply
    22,202.76x = 30,639.80 × 12,266.76
  4. Step 4: Simplify right side
    22,202.76x = 375,851,073.05
  5. Step 5: Solve for x
    x = 375,851,073.05/22,202.76
  6. Step 6: Final answer
    x = 16,928.12

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Half scale
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Double scale
Find fourth proportional to 22,203.76, 30,641.18 and 12,267.76
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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.