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Finding the Fourth Proportional to 14,864.28, 20,512.92 and 8,896.20

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Solution

The fourth proportional to 14,864.28, 20,512.92 and 8,896.20 is: 12,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.28 : 20,512.92 = 8,896.20 : x
  2. Step 2: Convert to fraction form
    14,864.28/20,512.92 = 8,896.20/x
  3. Step 3: Cross multiply
    14,864.28x = 20,512.92 × 8,896.20
  4. Step 4: Simplify right side
    14,864.28x = 182,487,038.90
  5. Step 5: Solve for x
    x = 182,487,038.90/14,864.28
  6. Step 6: Final answer
    x = 12,276.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.