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Finding the Fourth Proportional to 12,758.52, 17,617.26 and 12,106.20

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Solution

The fourth proportional to 12,758.52, 17,617.26 and 12,106.20 is: 16,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.52 : 17,617.26 = 12,106.20 : x
  2. Step 2: Convert to fraction form
    12,758.52/17,617.26 = 12,106.20/x
  3. Step 3: Cross multiply
    12,758.52x = 17,617.26 × 12,106.20
  4. Step 4: Simplify right side
    12,758.52x = 213,278,073.01
  5. Step 5: Solve for x
    x = 213,278,073.01/12,758.52
  6. Step 6: Final answer
    x = 16,716.52

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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.