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Finding the Fourth Proportional to 12,386.17, 18,584.52 and 8,227.63

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Solution

The fourth proportional to 12,386.17, 18,584.52 and 8,227.63 is: 12,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.17 : 18,584.52 = 8,227.63 : x
  2. Step 2: Convert to fraction form
    12,386.17/18,584.52 = 8,227.63/x
  3. Step 3: Cross multiply
    12,386.17x = 18,584.52 × 8,227.63
  4. Step 4: Simplify right side
    12,386.17x = 152,906,554.29
  5. Step 5: Solve for x
    x = 152,906,554.29/12,386.17
  6. Step 6: Final answer
    x = 12,344.94

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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.