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Finding the Fourth Proportional to 12,206.92, 18,309.96 and 5,182.42

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Solution

The fourth proportional to 12,206.92, 18,309.96 and 5,182.42 is: 7,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.92 : 18,309.96 = 5,182.42 : x
  2. Step 2: Convert to fraction form
    12,206.92/18,309.96 = 5,182.42/x
  3. Step 3: Cross multiply
    12,206.92x = 18,309.96 × 5,182.42
  4. Step 4: Simplify right side
    12,206.92x = 94,889,902.90
  5. Step 5: Solve for x
    x = 94,889,902.90/12,206.92
  6. Step 6: Final answer
    x = 7,773.45

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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.