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Finding the Fourth Proportional to 17,449.33, 24,078.12 and 10,278.78

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Solution

The fourth proportional to 17,449.33, 24,078.12 and 10,278.78 is: 14,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.33 : 24,078.12 = 10,278.78 : x
  2. Step 2: Convert to fraction form
    17,449.33/24,078.12 = 10,278.78/x
  3. Step 3: Cross multiply
    17,449.33x = 24,078.12 × 10,278.78
  4. Step 4: Simplify right side
    17,449.33x = 247,493,569.46
  5. Step 5: Solve for x
    x = 247,493,569.46/17,449.33
  6. Step 6: Final answer
    x = 14,183.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.