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Finding the Fourth Proportional to 12,747.52, 17,584.08 and 8,976.16

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Solution

The fourth proportional to 12,747.52, 17,584.08 and 8,976.16 is: 12,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.52 : 17,584.08 = 8,976.16 : x
  2. Step 2: Convert to fraction form
    12,747.52/17,584.08 = 8,976.16/x
  3. Step 3: Cross multiply
    12,747.52x = 17,584.08 × 8,976.16
  4. Step 4: Simplify right side
    12,747.52x = 157,837,515.53
  5. Step 5: Solve for x
    x = 157,837,515.53/12,747.52
  6. Step 6: Final answer
    x = 12,381.82

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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.