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Finding the Fourth Proportional to 12,306.30, 18,478.89 and 9,720.78

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Solution

The fourth proportional to 12,306.30, 18,478.89 and 9,720.78 is: 14,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.30 : 18,478.89 = 9,720.78 : x
  2. Step 2: Convert to fraction form
    12,306.30/18,478.89 = 9,720.78/x
  3. Step 3: Cross multiply
    12,306.30x = 18,478.89 × 9,720.78
  4. Step 4: Simplify right side
    12,306.30x = 179,629,224.33
  5. Step 5: Solve for x
    x = 179,629,224.33/12,306.30
  6. Step 6: Final answer
    x = 14,596.53

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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.