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Finding the Fourth Proportional to 22,706.96, 31,332.17 and 12,635.56

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Solution

The fourth proportional to 22,706.96, 31,332.17 and 12,635.56 is: 17,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.96 : 31,332.17 = 12,635.56 : x
  2. Step 2: Convert to fraction form
    22,706.96/31,332.17 = 12,635.56/x
  3. Step 3: Cross multiply
    22,706.96x = 31,332.17 × 12,635.56
  4. Step 4: Simplify right side
    22,706.96x = 395,899,294.13
  5. Step 5: Solve for x
    x = 395,899,294.13/22,706.96
  6. Step 6: Final answer
    x = 17,435.15

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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.