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Finding the Fourth Proportional to 13,431.62, 20,132.96 and 8,502.64

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Solution

The fourth proportional to 13,431.62, 20,132.96 and 8,502.64 is: 12,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.62 : 20,132.96 = 8,502.64 : x
  2. Step 2: Convert to fraction form
    13,431.62/20,132.96 = 8,502.64/x
  3. Step 3: Cross multiply
    13,431.62x = 20,132.96 × 8,502.64
  4. Step 4: Simplify right side
    13,431.62x = 171,183,218.17
  5. Step 5: Solve for x
    x = 171,183,218.17/13,431.62
  6. Step 6: Final answer
    x = 12,744.79

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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.