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Finding the Fourth Proportional to 22,753.14, 31,400.91 and 13,801.02

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Solution

The fourth proportional to 22,753.14, 31,400.91 and 13,801.02 is: 19,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.14 : 31,400.91 = 13,801.02 : x
  2. Step 2: Convert to fraction form
    22,753.14/31,400.91 = 13,801.02/x
  3. Step 3: Cross multiply
    22,753.14x = 31,400.91 × 13,801.02
  4. Step 4: Simplify right side
    22,753.14x = 433,364,586.93
  5. Step 5: Solve for x
    x = 433,364,586.93/22,753.14
  6. Step 6: Final answer
    x = 19,046.36

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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.