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Finding the Fourth Proportional to 12,049, 16,626.66 and 6,743.56

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Solution

The fourth proportional to 12,049, 16,626.66 and 6,743.56 is: 9,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049 : 16,626.66 = 6,743.56 : x
  2. Step 2: Convert to fraction form
    12,049/16,626.66 = 6,743.56/x
  3. Step 3: Cross multiply
    12,049x = 16,626.66 × 6,743.56
  4. Step 4: Simplify right side
    12,049x = 112,122,879.31
  5. Step 5: Solve for x
    x = 112,122,879.31/12,049
  6. Step 6: Final answer
    x = 9,305.58

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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.