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Finding the Fourth Proportional to 16,732.91, 23,091.17 and 9,659.18

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Solution

The fourth proportional to 16,732.91, 23,091.17 and 9,659.18 is: 13,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.91 : 23,091.17 = 9,659.18 : x
  2. Step 2: Convert to fraction form
    16,732.91/23,091.17 = 9,659.18/x
  3. Step 3: Cross multiply
    16,732.91x = 23,091.17 × 9,659.18
  4. Step 4: Simplify right side
    16,732.91x = 223,041,603.69
  5. Step 5: Solve for x
    x = 223,041,603.69/16,732.91
  6. Step 6: Final answer
    x = 13,329.52

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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.