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Finding the Fourth Proportional to 12,049.07, 16,627.69 and 6,743.84

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Solution

The fourth proportional to 12,049.07, 16,627.69 and 6,743.84 is: 9,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.07 : 16,627.69 = 6,743.84 : x
  2. Step 2: Convert to fraction form
    12,049.07/16,627.69 = 6,743.84/x
  3. Step 3: Cross multiply
    12,049.07x = 16,627.69 × 6,743.84
  4. Step 4: Simplify right side
    12,049.07x = 112,134,480.93
  5. Step 5: Solve for x
    x = 112,134,480.93/12,049.07
  6. Step 6: Final answer
    x = 9,306.48

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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.