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Finding the Fourth Proportional to 24,847.38, 37,272.27 and 7,317.38

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Solution

The fourth proportional to 24,847.38, 37,272.27 and 7,317.38 is: 10,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.38 : 37,272.27 = 7,317.38 : x
  2. Step 2: Convert to fraction form
    24,847.38/37,272.27 = 7,317.38/x
  3. Step 3: Cross multiply
    24,847.38x = 37,272.27 × 7,317.38
  4. Step 4: Simplify right side
    24,847.38x = 272,735,363.05
  5. Step 5: Solve for x
    x = 272,735,363.05/24,847.38
  6. Step 6: Final answer
    x = 10,976.42

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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.