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Finding the Fourth Proportional to 13,724.64, 20,586.96 and 7,882.92

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Solution

The fourth proportional to 13,724.64, 20,586.96 and 7,882.92 is: 11,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.64 : 20,586.96 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    13,724.64/20,586.96 = 7,882.92/x
  3. Step 3: Cross multiply
    13,724.64x = 20,586.96 × 7,882.92
  4. Step 4: Simplify right side
    13,724.64x = 162,285,358.72
  5. Step 5: Solve for x
    x = 162,285,358.72/13,724.64
  6. Step 6: Final answer
    x = 11,824.38

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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.