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Finding the Fourth Proportional to 16,171.28, 24,264.48 and 8,375.84

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Solution

The fourth proportional to 16,171.28, 24,264.48 and 8,375.84 is: 12,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.28 : 24,264.48 = 8,375.84 : x
  2. Step 2: Convert to fraction form
    16,171.28/24,264.48 = 8,375.84/x
  3. Step 3: Cross multiply
    16,171.28x = 24,264.48 × 8,375.84
  4. Step 4: Simplify right side
    16,171.28x = 203,235,402.16
  5. Step 5: Solve for x
    x = 203,235,402.16/16,171.28
  6. Step 6: Final answer
    x = 12,567.68

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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.