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Finding the Fourth Proportional to 24,744.40, 37,116.36 and 6,276.40

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Solution

The fourth proportional to 24,744.40, 37,116.36 and 6,276.40 is: 9,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.40 : 37,116.36 = 6,276.40 : x
  2. Step 2: Convert to fraction form
    24,744.40/37,116.36 = 6,276.40/x
  3. Step 3: Cross multiply
    24,744.40x = 37,116.36 × 6,276.40
  4. Step 4: Simplify right side
    24,744.40x = 232,957,121.90
  5. Step 5: Solve for x
    x = 232,957,121.90/24,744.40
  6. Step 6: Final answer
    x = 9,414.54

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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.