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Finding the Fourth Proportional to 15,209.20, 22,811.17 and 4,114.43

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Solution

The fourth proportional to 15,209.20, 22,811.17 and 4,114.43 is: 6,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.20 : 22,811.17 = 4,114.43 : x
  2. Step 2: Convert to fraction form
    15,209.20/22,811.17 = 4,114.43/x
  3. Step 3: Cross multiply
    15,209.20x = 22,811.17 × 4,114.43
  4. Step 4: Simplify right side
    15,209.20x = 93,854,962.18
  5. Step 5: Solve for x
    x = 93,854,962.18/15,209.20
  6. Step 6: Final answer
    x = 6,170.93

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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.