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Finding the Fourth Proportional to 12,203.39, 18,306.84 and 4,306.97

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Solution

The fourth proportional to 12,203.39, 18,306.84 and 4,306.97 is: 6,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.39 : 18,306.84 = 4,306.97 : x
  2. Step 2: Convert to fraction form
    12,203.39/18,306.84 = 4,306.97/x
  3. Step 3: Cross multiply
    12,203.39x = 18,306.84 × 4,306.97
  4. Step 4: Simplify right side
    12,203.39x = 78,847,010.67
  5. Step 5: Solve for x
    x = 78,847,010.67/12,203.39
  6. Step 6: Final answer
    x = 6,461.07

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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.