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Finding the Fourth Proportional to 15,966.52, 23,949.73 and 7,191.16

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Solution

The fourth proportional to 15,966.52, 23,949.73 and 7,191.16 is: 10,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.52 : 23,949.73 = 7,191.16 : x
  2. Step 2: Convert to fraction form
    15,966.52/23,949.73 = 7,191.16/x
  3. Step 3: Cross multiply
    15,966.52x = 23,949.73 × 7,191.16
  4. Step 4: Simplify right side
    15,966.52x = 172,226,340.39
  5. Step 5: Solve for x
    x = 172,226,340.39/15,966.52
  6. Step 6: Final answer
    x = 10,786.72

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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.