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Finding the Fourth Proportional to 26,614.08, 36,729.72 and 16,002

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Solution

The fourth proportional to 26,614.08, 36,729.72 and 16,002 is: 22,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,614.08 : 36,729.72 = 16,002 : x
  2. Step 2: Convert to fraction form
    26,614.08/36,729.72 = 16,002/x
  3. Step 3: Cross multiply
    26,614.08x = 36,729.72 × 16,002
  4. Step 4: Simplify right side
    26,614.08x = 587,748,979.44
  5. Step 5: Solve for x
    x = 587,748,979.44/26,614.08
  6. Step 6: Final answer
    x = 22,084.14

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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.