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Finding the Fourth Proportional to 13,856.30, 20,761.65 and 8,002.70

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Solution

The fourth proportional to 13,856.30, 20,761.65 and 8,002.70 is: 11,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.30 : 20,761.65 = 8,002.70 : x
  2. Step 2: Convert to fraction form
    13,856.30/20,761.65 = 8,002.70/x
  3. Step 3: Cross multiply
    13,856.30x = 20,761.65 × 8,002.70
  4. Step 4: Simplify right side
    13,856.30x = 166,149,256.46
  5. Step 5: Solve for x
    x = 166,149,256.46/13,856.30
  6. Step 6: Final answer
    x = 11,990.88

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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.