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Finding the Fourth Proportional to 12,110.48, 18,154.80 and 8,414.44

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Solution

The fourth proportional to 12,110.48, 18,154.80 and 8,414.44 is: 12,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.48 : 18,154.80 = 8,414.44 : x
  2. Step 2: Convert to fraction form
    12,110.48/18,154.80 = 8,414.44/x
  3. Step 3: Cross multiply
    12,110.48x = 18,154.80 × 8,414.44
  4. Step 4: Simplify right side
    12,110.48x = 152,762,475.31
  5. Step 5: Solve for x
    x = 152,762,475.31/12,110.48
  6. Step 6: Final answer
    x = 12,614.07

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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.