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Finding the Fourth Proportional to 16,301.28, 24,451.92 and 8,505.84

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Solution

The fourth proportional to 16,301.28, 24,451.92 and 8,505.84 is: 12,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.28 : 24,451.92 = 8,505.84 : x
  2. Step 2: Convert to fraction form
    16,301.28/24,451.92 = 8,505.84/x
  3. Step 3: Cross multiply
    16,301.28x = 24,451.92 × 8,505.84
  4. Step 4: Simplify right side
    16,301.28x = 207,984,119.21
  5. Step 5: Solve for x
    x = 207,984,119.21/16,301.28
  6. Step 6: Final answer
    x = 12,758.76

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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.