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Finding the Fourth Proportional to 13,487.67, 20,231.50 and 5,696.55

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Solution

The fourth proportional to 13,487.67, 20,231.50 and 5,696.55 is: 8,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.67 : 20,231.50 = 5,696.55 : x
  2. Step 2: Convert to fraction form
    13,487.67/20,231.50 = 5,696.55/x
  3. Step 3: Cross multiply
    13,487.67x = 20,231.50 × 5,696.55
  4. Step 4: Simplify right side
    13,487.67x = 115,249,650.17
  5. Step 5: Solve for x
    x = 115,249,650.17/13,487.67
  6. Step 6: Final answer
    x = 8,544.82

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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.