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Finding the Fourth Proportional to 12,134.68, 18,204.60 and 6,872.15

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Solution

The fourth proportional to 12,134.68, 18,204.60 and 6,872.15 is: 10,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.68 : 18,204.60 = 6,872.15 : x
  2. Step 2: Convert to fraction form
    12,134.68/18,204.60 = 6,872.15/x
  3. Step 3: Cross multiply
    12,134.68x = 18,204.60 × 6,872.15
  4. Step 4: Simplify right side
    12,134.68x = 125,104,741.89
  5. Step 5: Solve for x
    x = 125,104,741.89/12,134.68
  6. Step 6: Final answer
    x = 10,309.69

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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.