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Finding the Fourth Proportional to 16,116.30, 22,240.17 and 9,045

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Solution

The fourth proportional to 16,116.30, 22,240.17 and 9,045 is: 12,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.30 : 22,240.17 = 9,045 : x
  2. Step 2: Convert to fraction form
    16,116.30/22,240.17 = 9,045/x
  3. Step 3: Cross multiply
    16,116.30x = 22,240.17 × 9,045
  4. Step 4: Simplify right side
    16,116.30x = 201,162,337.65
  5. Step 5: Solve for x
    x = 201,162,337.65/16,116.30
  6. Step 6: Final answer
    x = 12,481.92

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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.