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Finding the Fourth Proportional to 13,678.73, 18,867.25 and 8,376.15

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Solution

The fourth proportional to 13,678.73, 18,867.25 and 8,376.15 is: 11,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.73 : 18,867.25 = 8,376.15 : x
  2. Step 2: Convert to fraction form
    13,678.73/18,867.25 = 8,376.15/x
  3. Step 3: Cross multiply
    13,678.73x = 18,867.25 × 8,376.15
  4. Step 4: Simplify right side
    13,678.73x = 158,034,916.09
  5. Step 5: Solve for x
    x = 158,034,916.09/13,678.73
  6. Step 6: Final answer
    x = 11,553.33

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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.