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Finding the Fourth Proportional to 17,141.32, 25,694.40 and 8,365.42

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Solution

The fourth proportional to 17,141.32, 25,694.40 and 8,365.42 is: 12,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.32 : 25,694.40 = 8,365.42 : x
  2. Step 2: Convert to fraction form
    17,141.32/25,694.40 = 8,365.42/x
  3. Step 3: Cross multiply
    17,141.32x = 25,694.40 × 8,365.42
  4. Step 4: Simplify right side
    17,141.32x = 214,944,447.65
  5. Step 5: Solve for x
    x = 214,944,447.65/17,141.32
  6. Step 6: Final answer
    x = 12,539.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.