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Finding the Fourth Proportional to 24,566.48, 36,850.20 and 6,098

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Solution

The fourth proportional to 24,566.48, 36,850.20 and 6,098 is: 9,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566.48 : 36,850.20 = 6,098 : x
  2. Step 2: Convert to fraction form
    24,566.48/36,850.20 = 6,098/x
  3. Step 3: Cross multiply
    24,566.48x = 36,850.20 × 6,098
  4. Step 4: Simplify right side
    24,566.48x = 224,712,519.60
  5. Step 5: Solve for x
    x = 224,712,519.60/24,566.48
  6. Step 6: Final answer
    x = 9,147.12

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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.