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Finding the Fourth Proportional to 12,249.84, 18,377.56 and 9,760.40

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Solution

The fourth proportional to 12,249.84, 18,377.56 and 9,760.40 is: 14,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.84 : 18,377.56 = 9,760.40 : x
  2. Step 2: Convert to fraction form
    12,249.84/18,377.56 = 9,760.40/x
  3. Step 3: Cross multiply
    12,249.84x = 18,377.56 × 9,760.40
  4. Step 4: Simplify right side
    12,249.84x = 179,372,336.62
  5. Step 5: Solve for x
    x = 179,372,336.62/12,249.84
  6. Step 6: Final answer
    x = 14,642.83

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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.