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Finding the Fourth Proportional to 23,614.28, 35,426.88 and 8,031.92

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Solution

The fourth proportional to 23,614.28, 35,426.88 and 8,031.92 is: 12,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.28 : 35,426.88 = 8,031.92 : x
  2. Step 2: Convert to fraction form
    23,614.28/35,426.88 = 8,031.92/x
  3. Step 3: Cross multiply
    23,614.28x = 35,426.88 × 8,031.92
  4. Step 4: Simplify right side
    23,614.28x = 284,545,866.01
  5. Step 5: Solve for x
    x = 284,545,866.01/23,614.28
  6. Step 6: Final answer
    x = 12,049.74

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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.