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Finding the Fourth Proportional to 24,098.67, 36,147.96 and 6,568.47

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Solution

The fourth proportional to 24,098.67, 36,147.96 and 6,568.47 is: 9,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.67 : 36,147.96 = 6,568.47 : x
  2. Step 2: Convert to fraction form
    24,098.67/36,147.96 = 6,568.47/x
  3. Step 3: Cross multiply
    24,098.67x = 36,147.96 × 6,568.47
  4. Step 4: Simplify right side
    24,098.67x = 237,436,790.82
  5. Step 5: Solve for x
    x = 237,436,790.82/24,098.67
  6. Step 6: Final answer
    x = 9,852.69

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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.