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Finding the Fourth Proportional to 17,195, 23,729.10 and 10,125.78

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Solution

The fourth proportional to 17,195, 23,729.10 and 10,125.78 is: 13,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,195 : 23,729.10 = 10,125.78 : x
  2. Step 2: Convert to fraction form
    17,195/23,729.10 = 10,125.78/x
  3. Step 3: Cross multiply
    17,195x = 23,729.10 × 10,125.78
  4. Step 4: Simplify right side
    17,195x = 240,275,646.20
  5. Step 5: Solve for x
    x = 240,275,646.20/17,195
  6. Step 6: Final answer
    x = 13,973.58

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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.