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Finding the Fourth Proportional to 16,177.76, 24,273.12 and 5,086.16

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Solution

The fourth proportional to 16,177.76, 24,273.12 and 5,086.16 is: 7,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.76 : 24,273.12 = 5,086.16 : x
  2. Step 2: Convert to fraction form
    16,177.76/24,273.12 = 5,086.16/x
  3. Step 3: Cross multiply
    16,177.76x = 24,273.12 × 5,086.16
  4. Step 4: Simplify right side
    16,177.76x = 123,456,972.02
  5. Step 5: Solve for x
    x = 123,456,972.02/16,177.76
  6. Step 6: Final answer
    x = 7,631.28

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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.