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Finding the Fourth Proportional to 13,446.64, 20,169.90 and 5,124.76

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Solution

The fourth proportional to 13,446.64, 20,169.90 and 5,124.76 is: 7,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.64 : 20,169.90 = 5,124.76 : x
  2. Step 2: Convert to fraction form
    13,446.64/20,169.90 = 5,124.76/x
  3. Step 3: Cross multiply
    13,446.64x = 20,169.90 × 5,124.76
  4. Step 4: Simplify right side
    13,446.64x = 103,365,896.72
  5. Step 5: Solve for x
    x = 103,365,896.72/13,446.64
  6. Step 6: Final answer
    x = 7,687.12

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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.