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Finding the Fourth Proportional to 17,152.97, 25,739.33 and 9,255.47

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Solution

The fourth proportional to 17,152.97, 25,739.33 and 9,255.47 is: 13,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.97 : 25,739.33 = 9,255.47 : x
  2. Step 2: Convert to fraction form
    17,152.97/25,739.33 = 9,255.47/x
  3. Step 3: Cross multiply
    17,152.97x = 25,739.33 × 9,255.47
  4. Step 4: Simplify right side
    17,152.97x = 238,229,421.66
  5. Step 5: Solve for x
    x = 238,229,421.66/17,152.97
  6. Step 6: Final answer
    x = 13,888.53

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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.