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Finding the Fourth Proportional to 24,199.97, 36,301.32 and 8,617.60

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Solution

The fourth proportional to 24,199.97, 36,301.32 and 8,617.60 is: 12,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.97 : 36,301.32 = 8,617.60 : x
  2. Step 2: Convert to fraction form
    24,199.97/36,301.32 = 8,617.60/x
  3. Step 3: Cross multiply
    24,199.97x = 36,301.32 × 8,617.60
  4. Step 4: Simplify right side
    24,199.97x = 312,830,073.73
  5. Step 5: Solve for x
    x = 312,830,073.73/24,199.97
  6. Step 6: Final answer
    x = 12,926.88

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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.