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Finding the Fourth Proportional to 16,278.72, 24,419.12 and 6,288.24

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Solution

The fourth proportional to 16,278.72, 24,419.12 and 6,288.24 is: 9,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.72 : 24,419.12 = 6,288.24 : x
  2. Step 2: Convert to fraction form
    16,278.72/24,419.12 = 6,288.24/x
  3. Step 3: Cross multiply
    16,278.72x = 24,419.12 × 6,288.24
  4. Step 4: Simplify right side
    16,278.72x = 153,553,287.15
  5. Step 5: Solve for x
    x = 153,553,287.15/16,278.72
  6. Step 6: Final answer
    x = 9,432.76

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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.