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Finding the Fourth Proportional to 12,194.59, 18,294.44 and 6,932.02

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Solution

The fourth proportional to 12,194.59, 18,294.44 and 6,932.02 is: 10,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.59 : 18,294.44 = 6,932.02 : x
  2. Step 2: Convert to fraction form
    12,194.59/18,294.44 = 6,932.02/x
  3. Step 3: Cross multiply
    12,194.59x = 18,294.44 × 6,932.02
  4. Step 4: Simplify right side
    12,194.59x = 126,817,423.97
  5. Step 5: Solve for x
    x = 126,817,423.97/12,194.59
  6. Step 6: Final answer
    x = 10,399.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.