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Finding the Fourth Proportional to 12,642.40, 17,447.34 and 9,286.66

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Solution

The fourth proportional to 12,642.40, 17,447.34 and 9,286.66 is: 12,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.40 : 17,447.34 = 9,286.66 : x
  2. Step 2: Convert to fraction form
    12,642.40/17,447.34 = 9,286.66/x
  3. Step 3: Cross multiply
    12,642.40x = 17,447.34 × 9,286.66
  4. Step 4: Simplify right side
    12,642.40x = 162,027,514.48
  5. Step 5: Solve for x
    x = 162,027,514.48/12,642.40
  6. Step 6: Final answer
    x = 12,816.20

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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.