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Finding the Fourth Proportional to 15,097.92, 22,649.60 and 6,211.68

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Solution

The fourth proportional to 15,097.92, 22,649.60 and 6,211.68 is: 9,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.92 : 22,649.60 = 6,211.68 : x
  2. Step 2: Convert to fraction form
    15,097.92/22,649.60 = 6,211.68/x
  3. Step 3: Cross multiply
    15,097.92x = 22,649.60 × 6,211.68
  4. Step 4: Simplify right side
    15,097.92x = 140,692,067.33
  5. Step 5: Solve for x
    x = 140,692,067.33/15,097.92
  6. Step 6: Final answer
    x = 9,318.64

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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.