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Finding the Fourth Proportional to 15,727.13, 21,702.82 and 9,007.97

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Solution

The fourth proportional to 15,727.13, 21,702.82 and 9,007.97 is: 12,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.13 : 21,702.82 = 9,007.97 : x
  2. Step 2: Convert to fraction form
    15,727.13/21,702.82 = 9,007.97/x
  3. Step 3: Cross multiply
    15,727.13x = 21,702.82 × 9,007.97
  4. Step 4: Simplify right side
    15,727.13x = 195,498,306.44
  5. Step 5: Solve for x
    x = 195,498,306.44/15,727.13
  6. Step 6: Final answer
    x = 12,430.64

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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.