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Finding the Fourth Proportional to 25,171.97, 34,737.26 and 13,842.16

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Solution

The fourth proportional to 25,171.97, 34,737.26 and 13,842.16 is: 19,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.97 : 34,737.26 = 13,842.16 : x
  2. Step 2: Convert to fraction form
    25,171.97/34,737.26 = 13,842.16/x
  3. Step 3: Cross multiply
    25,171.97x = 34,737.26 × 13,842.16
  4. Step 4: Simplify right side
    25,171.97x = 480,838,554.83
  5. Step 5: Solve for x
    x = 480,838,554.83/25,171.97
  6. Step 6: Final answer
    x = 19,102.15

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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.