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Finding the Fourth Proportional to 12,462.89, 18,687.33 and 4,138.46

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Solution

The fourth proportional to 12,462.89, 18,687.33 and 4,138.46 is: 6,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.89 : 18,687.33 = 4,138.46 : x
  2. Step 2: Convert to fraction form
    12,462.89/18,687.33 = 4,138.46/x
  3. Step 3: Cross multiply
    12,462.89x = 18,687.33 × 4,138.46
  4. Step 4: Simplify right side
    12,462.89x = 77,336,674.28
  5. Step 5: Solve for x
    x = 77,336,674.28/12,462.89
  6. Step 6: Final answer
    x = 6,205.36

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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.