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Finding the Fourth Proportional to 15,331.80, 22,997.70 and 6,097.80

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Solution

The fourth proportional to 15,331.80, 22,997.70 and 6,097.80 is: 9,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.80 : 22,997.70 = 6,097.80 : x
  2. Step 2: Convert to fraction form
    15,331.80/22,997.70 = 6,097.80/x
  3. Step 3: Cross multiply
    15,331.80x = 22,997.70 × 6,097.80
  4. Step 4: Simplify right side
    15,331.80x = 140,235,375.06
  5. Step 5: Solve for x
    x = 140,235,375.06/15,331.80
  6. Step 6: Final answer
    x = 9,146.70

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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.