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Finding the Fourth Proportional to 13,502.62, 20,253.87 and 3,642.90

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Solution

The fourth proportional to 13,502.62, 20,253.87 and 3,642.90 is: 5,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.62 : 20,253.87 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    13,502.62/20,253.87 = 3,642.90/x
  3. Step 3: Cross multiply
    13,502.62x = 20,253.87 × 3,642.90
  4. Step 4: Simplify right side
    13,502.62x = 73,782,823.02
  5. Step 5: Solve for x
    x = 73,782,823.02/13,502.62
  6. Step 6: Final answer
    x = 5,464.33

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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.