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Finding the Fourth Proportional to 12,306.66, 18,422.33 and 9,944.70

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Solution

The fourth proportional to 12,306.66, 18,422.33 and 9,944.70 is: 14,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.66 : 18,422.33 = 9,944.70 : x
  2. Step 2: Convert to fraction form
    12,306.66/18,422.33 = 9,944.70/x
  3. Step 3: Cross multiply
    12,306.66x = 18,422.33 × 9,944.70
  4. Step 4: Simplify right side
    12,306.66x = 183,204,495.43
  5. Step 5: Solve for x
    x = 183,204,495.43/12,306.66
  6. Step 6: Final answer
    x = 14,886.61

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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.