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Finding the Fourth Proportional to 12,064.21, 16,648.17 and 6,686.88

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Solution

The fourth proportional to 12,064.21, 16,648.17 and 6,686.88 is: 9,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.21 : 16,648.17 = 6,686.88 : x
  2. Step 2: Convert to fraction form
    12,064.21/16,648.17 = 6,686.88/x
  3. Step 3: Cross multiply
    12,064.21x = 16,648.17 × 6,686.88
  4. Step 4: Simplify right side
    12,064.21x = 111,324,198.33
  5. Step 5: Solve for x
    x = 111,324,198.33/12,064.21
  6. Step 6: Final answer
    x = 9,227.64

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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.