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Finding the Fourth Proportional to 12,376.92, 18,555.75 and 8,417.82

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Solution

The fourth proportional to 12,376.92, 18,555.75 and 8,417.82 is: 12,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.92 : 18,555.75 = 8,417.82 : x
  2. Step 2: Convert to fraction form
    12,376.92/18,555.75 = 8,417.82/x
  3. Step 3: Cross multiply
    12,376.92x = 18,555.75 × 8,417.82
  4. Step 4: Simplify right side
    12,376.92x = 156,198,963.47
  5. Step 5: Solve for x
    x = 156,198,963.47/12,376.92
  6. Step 6: Final answer
    x = 12,620.18

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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.