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Finding the Fourth Proportional to 12,386.73, 18,586.71 and 5,812.97

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Solution

The fourth proportional to 12,386.73, 18,586.71 and 5,812.97 is: 8,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.73 : 18,586.71 = 5,812.97 : x
  2. Step 2: Convert to fraction form
    12,386.73/18,586.71 = 5,812.97/x
  3. Step 3: Cross multiply
    12,386.73x = 18,586.71 × 5,812.97
  4. Step 4: Simplify right side
    12,386.73x = 108,044,034.10
  5. Step 5: Solve for x
    x = 108,044,034.10/12,386.73
  6. Step 6: Final answer
    x = 8,722.56

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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.