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Finding the Fourth Proportional to 14,737.76, 20,342.40 and 11,774.24

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Solution

The fourth proportional to 14,737.76, 20,342.40 and 11,774.24 is: 16,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.76 : 20,342.40 = 11,774.24 : x
  2. Step 2: Convert to fraction form
    14,737.76/20,342.40 = 11,774.24/x
  3. Step 3: Cross multiply
    14,737.76x = 20,342.40 × 11,774.24
  4. Step 4: Simplify right side
    14,737.76x = 239,516,299.78
  5. Step 5: Solve for x
    x = 239,516,299.78/14,737.76
  6. Step 6: Final answer
    x = 16,251.88

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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.