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Finding the Fourth Proportional to 24,617.16, 36,921.29 and 7,974.90

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Solution

The fourth proportional to 24,617.16, 36,921.29 and 7,974.90 is: 11,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.16 : 36,921.29 = 7,974.90 : x
  2. Step 2: Convert to fraction form
    24,617.16/36,921.29 = 7,974.90/x
  3. Step 3: Cross multiply
    24,617.16x = 36,921.29 × 7,974.90
  4. Step 4: Simplify right side
    24,617.16x = 294,443,555.75
  5. Step 5: Solve for x
    x = 294,443,555.75/24,617.16
  6. Step 6: Final answer
    x = 11,960.91

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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.