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Finding the Fourth Proportional to 22,573.74, 31,149.11 and 13,013.52

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Solution

The fourth proportional to 22,573.74, 31,149.11 and 13,013.52 is: 17,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.74 : 31,149.11 = 13,013.52 : x
  2. Step 2: Convert to fraction form
    22,573.74/31,149.11 = 13,013.52/x
  3. Step 3: Cross multiply
    22,573.74x = 31,149.11 × 13,013.52
  4. Step 4: Simplify right side
    22,573.74x = 405,359,565.97
  5. Step 5: Solve for x
    x = 405,359,565.97/22,573.74
  6. Step 6: Final answer
    x = 17,957.13

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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.