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Finding the Fourth Proportional to 15,149.28, 20,905.84 and 8,434.76

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Solution

The fourth proportional to 15,149.28, 20,905.84 and 8,434.76 is: 11,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.28 : 20,905.84 = 8,434.76 : x
  2. Step 2: Convert to fraction form
    15,149.28/20,905.84 = 8,434.76/x
  3. Step 3: Cross multiply
    15,149.28x = 20,905.84 × 8,434.76
  4. Step 4: Simplify right side
    15,149.28x = 176,335,743.00
  5. Step 5: Solve for x
    x = 176,335,743.00/15,149.28
  6. Step 6: Final answer
    x = 11,639.88

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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.