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Finding the Fourth Proportional to 13,510.94, 20,265.96 and 6,115.39

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Solution

The fourth proportional to 13,510.94, 20,265.96 and 6,115.39 is: 9,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.94 : 20,265.96 = 6,115.39 : x
  2. Step 2: Convert to fraction form
    13,510.94/20,265.96 = 6,115.39/x
  3. Step 3: Cross multiply
    13,510.94x = 20,265.96 × 6,115.39
  4. Step 4: Simplify right side
    13,510.94x = 123,934,221.39
  5. Step 5: Solve for x
    x = 123,934,221.39/13,510.94
  6. Step 6: Final answer
    x = 9,172.88

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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.