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Finding the Fourth Proportional to 14,947.96, 20,627.88 and 8,233.24

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Solution

The fourth proportional to 14,947.96, 20,627.88 and 8,233.24 is: 11,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.96 : 20,627.88 = 8,233.24 : x
  2. Step 2: Convert to fraction form
    14,947.96/20,627.88 = 8,233.24/x
  3. Step 3: Cross multiply
    14,947.96x = 20,627.88 × 8,233.24
  4. Step 4: Simplify right side
    14,947.96x = 169,834,286.73
  5. Step 5: Solve for x
    x = 169,834,286.73/14,947.96
  6. Step 6: Final answer
    x = 11,361.70

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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.