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Finding the Fourth Proportional to 22,785.50, 31,442.68 and 12,713.15

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Solution

The fourth proportional to 22,785.50, 31,442.68 and 12,713.15 is: 17,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.50 : 31,442.68 = 12,713.15 : x
  2. Step 2: Convert to fraction form
    22,785.50/31,442.68 = 12,713.15/x
  3. Step 3: Cross multiply
    22,785.50x = 31,442.68 × 12,713.15
  4. Step 4: Simplify right side
    22,785.50x = 399,735,601.74
  5. Step 5: Solve for x
    x = 399,735,601.74/22,785.50
  6. Step 6: Final answer
    x = 17,543.42

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