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Finding the Fourth Proportional to 13,502.11, 20,253.12 and 3,642.39

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Solution

The fourth proportional to 13,502.11, 20,253.12 and 3,642.39 is: 5,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.11 : 20,253.12 = 3,642.39 : x
  2. Step 2: Convert to fraction form
    13,502.11/20,253.12 = 3,642.39/x
  3. Step 3: Cross multiply
    13,502.11x = 20,253.12 × 3,642.39
  4. Step 4: Simplify right side
    13,502.11x = 73,769,761.76
  5. Step 5: Solve for x
    x = 73,769,761.76/13,502.11
  6. Step 6: Final answer
    x = 5,463.57

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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.