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Finding the Fourth Proportional to 24,146.46, 36,224.82 and 7,506.09

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Solution

The fourth proportional to 24,146.46, 36,224.82 and 7,506.09 is: 11,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.46 : 36,224.82 = 7,506.09 : x
  2. Step 2: Convert to fraction form
    24,146.46/36,224.82 = 7,506.09/x
  3. Step 3: Cross multiply
    24,146.46x = 36,224.82 × 7,506.09
  4. Step 4: Simplify right side
    24,146.46x = 271,906,759.15
  5. Step 5: Solve for x
    x = 271,906,759.15/24,146.46
  6. Step 6: Final answer
    x = 11,260.73

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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.