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Finding the Fourth Proportional to 16,967.52, 25,423.92 and 9,180

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Solution

The fourth proportional to 16,967.52, 25,423.92 and 9,180 is: 13,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.52 : 25,423.92 = 9,180 : x
  2. Step 2: Convert to fraction form
    16,967.52/25,423.92 = 9,180/x
  3. Step 3: Cross multiply
    16,967.52x = 25,423.92 × 9,180
  4. Step 4: Simplify right side
    16,967.52x = 233,391,585.60
  5. Step 5: Solve for x
    x = 233,391,585.60/16,967.52
  6. Step 6: Final answer
    x = 13,755.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.