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Finding the Fourth Proportional to 12,264.70, 18,382.65 and 5,676.97

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Solution

The fourth proportional to 12,264.70, 18,382.65 and 5,676.97 is: 8,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.70 : 18,382.65 = 5,676.97 : x
  2. Step 2: Convert to fraction form
    12,264.70/18,382.65 = 5,676.97/x
  3. Step 3: Cross multiply
    12,264.70x = 18,382.65 × 5,676.97
  4. Step 4: Simplify right side
    12,264.70x = 104,357,752.57
  5. Step 5: Solve for x
    x = 104,357,752.57/12,264.70
  6. Step 6: Final answer
    x = 8,508.79

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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.