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Finding the Fourth Proportional to 12,306.76, 16,986.12 and 7,827.04

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Solution

The fourth proportional to 12,306.76, 16,986.12 and 7,827.04 is: 10,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.76 : 16,986.12 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    12,306.76/16,986.12 = 7,827.04/x
  3. Step 3: Cross multiply
    12,306.76x = 16,986.12 × 7,827.04
  4. Step 4: Simplify right side
    12,306.76x = 132,951,040.68
  5. Step 5: Solve for x
    x = 132,951,040.68/12,306.76
  6. Step 6: Final answer
    x = 10,803.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.