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Finding the Fourth Proportional to 29,432.25, 40,616.91 and 16,857

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Solution

The fourth proportional to 29,432.25, 40,616.91 and 16,857 is: 23,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,432.25 : 40,616.91 = 16,857 : x
  2. Step 2: Convert to fraction form
    29,432.25/40,616.91 = 16,857/x
  3. Step 3: Cross multiply
    29,432.25x = 40,616.91 × 16,857
  4. Step 4: Simplify right side
    29,432.25x = 684,679,251.87
  5. Step 5: Solve for x
    x = 684,679,251.87/29,432.25
  6. Step 6: Final answer
    x = 23,262.89

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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.