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Finding the Fourth Proportional to 24,115.92, 36,173.82 and 6,585.72

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Solution

The fourth proportional to 24,115.92, 36,173.82 and 6,585.72 is: 9,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.92 : 36,173.82 = 6,585.72 : x
  2. Step 2: Convert to fraction form
    24,115.92/36,173.82 = 6,585.72/x
  3. Step 3: Cross multiply
    24,115.92x = 36,173.82 × 6,585.72
  4. Step 4: Simplify right side
    24,115.92x = 238,230,649.85
  5. Step 5: Solve for x
    x = 238,230,649.85/24,115.92
  6. Step 6: Final answer
    x = 9,878.56

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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.