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Finding the Fourth Proportional to 12,107.24, 18,149.90 and 8,411.20

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Solution

The fourth proportional to 12,107.24, 18,149.90 and 8,411.20 is: 12,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.24 : 18,149.90 = 8,411.20 : x
  2. Step 2: Convert to fraction form
    12,107.24/18,149.90 = 8,411.20/x
  3. Step 3: Cross multiply
    12,107.24x = 18,149.90 × 8,411.20
  4. Step 4: Simplify right side
    12,107.24x = 152,662,438.88
  5. Step 5: Solve for x
    x = 152,662,438.88/12,107.24
  6. Step 6: Final answer
    x = 12,609.19

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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.