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Finding the Fourth Proportional to 17,058.56, 25,550.80 and 8,275

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Solution

The fourth proportional to 17,058.56, 25,550.80 and 8,275 is: 12,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.56 : 25,550.80 = 8,275 : x
  2. Step 2: Convert to fraction form
    17,058.56/25,550.80 = 8,275/x
  3. Step 3: Cross multiply
    17,058.56x = 25,550.80 × 8,275
  4. Step 4: Simplify right side
    17,058.56x = 211,432,870
  5. Step 5: Solve for x
    x = 211,432,870/17,058.56
  6. Step 6: Final answer
    x = 12,394.53

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Why These Related Problems?

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