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Finding the Fourth Proportional to 13,648.24, 20,472.24 and 4,414.24

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Solution

The fourth proportional to 13,648.24, 20,472.24 and 4,414.24 is: 6,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.24 : 20,472.24 = 4,414.24 : x
  2. Step 2: Convert to fraction form
    13,648.24/20,472.24 = 4,414.24/x
  3. Step 3: Cross multiply
    13,648.24x = 20,472.24 × 4,414.24
  4. Step 4: Simplify right side
    13,648.24x = 90,369,380.70
  5. Step 5: Solve for x
    x = 90,369,380.70/13,648.24
  6. Step 6: Final answer
    x = 6,621.32

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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.