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Finding the Fourth Proportional to 12,226.82, 18,338.13 and 3,459.65

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Solution

The fourth proportional to 12,226.82, 18,338.13 and 3,459.65 is: 5,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.82 : 18,338.13 = 3,459.65 : x
  2. Step 2: Convert to fraction form
    12,226.82/18,338.13 = 3,459.65/x
  3. Step 3: Cross multiply
    12,226.82x = 18,338.13 × 3,459.65
  4. Step 4: Simplify right side
    12,226.82x = 63,443,419.76
  5. Step 5: Solve for x
    x = 63,443,419.76/12,226.82
  6. Step 6: Final answer
    x = 5,188.88

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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.