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Finding the Fourth Proportional to 24,517.40, 36,776.46 and 6,049.40

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Solution

The fourth proportional to 24,517.40, 36,776.46 and 6,049.40 is: 9,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.40 : 36,776.46 = 6,049.40 : x
  2. Step 2: Convert to fraction form
    24,517.40/36,776.46 = 6,049.40/x
  3. Step 3: Cross multiply
    24,517.40x = 36,776.46 × 6,049.40
  4. Step 4: Simplify right side
    24,517.40x = 222,475,517.12
  5. Step 5: Solve for x
    x = 222,475,517.12/24,517.40
  6. Step 6: Final answer
    x = 9,074.19

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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.