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Finding the Fourth Proportional to 12,306.40, 18,462.30 and 6,069.40

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Solution

The fourth proportional to 12,306.40, 18,462.30 and 6,069.40 is: 9,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.40 : 18,462.30 = 6,069.40 : x
  2. Step 2: Convert to fraction form
    12,306.40/18,462.30 = 6,069.40/x
  3. Step 3: Cross multiply
    12,306.40x = 18,462.30 × 6,069.40
  4. Step 4: Simplify right side
    12,306.40x = 112,055,083.62
  5. Step 5: Solve for x
    x = 112,055,083.62/12,306.40
  6. Step 6: Final answer
    x = 9,105.43

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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.