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Finding the Fourth Proportional to 12,386.64, 18,586.38 and 8,229.54

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Solution

The fourth proportional to 12,386.64, 18,586.38 and 8,229.54 is: 12,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.64 : 18,586.38 = 8,229.54 : x
  2. Step 2: Convert to fraction form
    12,386.64/18,586.38 = 8,229.54/x
  3. Step 3: Cross multiply
    12,386.64x = 18,586.38 × 8,229.54
  4. Step 4: Simplify right side
    12,386.64x = 152,957,357.67
  5. Step 5: Solve for x
    x = 152,957,357.67/12,386.64
  6. Step 6: Final answer
    x = 12,348.58

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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.