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Finding the Fourth Proportional to 16,227.67, 24,341.51 and 5,839.15

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Solution

The fourth proportional to 16,227.67, 24,341.51 and 5,839.15 is: 8,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.67 : 24,341.51 = 5,839.15 : x
  2. Step 2: Convert to fraction form
    16,227.67/24,341.51 = 5,839.15/x
  3. Step 3: Cross multiply
    16,227.67x = 24,341.51 × 5,839.15
  4. Step 4: Simplify right side
    16,227.67x = 142,133,728.12
  5. Step 5: Solve for x
    x = 142,133,728.12/16,227.67
  6. Step 6: Final answer
    x = 8,758.73

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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.