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Finding the Fourth Proportional to 12,306.90, 18,422.04 and 11,913.24

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Solution

The fourth proportional to 12,306.90, 18,422.04 and 11,913.24 is: 17,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.90 : 18,422.04 = 11,913.24 : x
  2. Step 2: Convert to fraction form
    12,306.90/18,422.04 = 11,913.24/x
  3. Step 3: Cross multiply
    12,306.90x = 18,422.04 × 11,913.24
  4. Step 4: Simplify right side
    12,306.90x = 219,466,183.81
  5. Step 5: Solve for x
    x = 219,466,183.81/12,306.90
  6. Step 6: Final answer
    x = 17,832.78

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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.