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Finding the Fourth Proportional to 23,839.50, 35,750.61 and 10,685.10

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Solution

The fourth proportional to 23,839.50, 35,750.61 and 10,685.10 is: 16,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.50 : 35,750.61 = 10,685.10 : x
  2. Step 2: Convert to fraction form
    23,839.50/35,750.61 = 10,685.10/x
  3. Step 3: Cross multiply
    23,839.50x = 35,750.61 × 10,685.10
  4. Step 4: Simplify right side
    23,839.50x = 381,998,842.91
  5. Step 5: Solve for x
    x = 381,998,842.91/23,839.50
  6. Step 6: Final answer
    x = 16,023.78

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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.