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Finding the Fourth Proportional to 12,187.66, 18,278.78 and 3,423.46

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Solution

The fourth proportional to 12,187.66, 18,278.78 and 3,423.46 is: 5,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.66 : 18,278.78 = 3,423.46 : x
  2. Step 2: Convert to fraction form
    12,187.66/18,278.78 = 3,423.46/x
  3. Step 3: Cross multiply
    12,187.66x = 18,278.78 × 3,423.46
  4. Step 4: Simplify right side
    12,187.66x = 62,576,672.18
  5. Step 5: Solve for x
    x = 62,576,672.18/12,187.66
  6. Step 6: Final answer
    x = 5,134.43

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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.