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Finding the Fourth Proportional to 24,296.40, 36,442.17 and 6,766.38

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Solution

The fourth proportional to 24,296.40, 36,442.17 and 6,766.38 is: 10,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.40 : 36,442.17 = 6,766.38 : x
  2. Step 2: Convert to fraction form
    24,296.40/36,442.17 = 6,766.38/x
  3. Step 3: Cross multiply
    24,296.40x = 36,442.17 × 6,766.38
  4. Step 4: Simplify right side
    24,296.40x = 246,581,570.24
  5. Step 5: Solve for x
    x = 246,581,570.24/24,296.40
  6. Step 6: Final answer
    x = 10,148.89

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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.