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Finding the Fourth Proportional to 13,487.67, 20,231.70 and 5,168.11

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Solution

The fourth proportional to 13,487.67, 20,231.70 and 5,168.11 is: 7,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.67 : 20,231.70 = 5,168.11 : x
  2. Step 2: Convert to fraction form
    13,487.67/20,231.70 = 5,168.11/x
  3. Step 3: Cross multiply
    13,487.67x = 20,231.70 × 5,168.11
  4. Step 4: Simplify right side
    13,487.67x = 104,559,581.13
  5. Step 5: Solve for x
    x = 104,559,581.13/13,487.67
  6. Step 6: Final answer
    x = 7,752.23

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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.