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Finding the Fourth Proportional to 17,129.24, 25,693.86 and 7,261.82

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Solution

The fourth proportional to 17,129.24, 25,693.86 and 7,261.82 is: 10,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.24 : 25,693.86 = 7,261.82 : x
  2. Step 2: Convert to fraction form
    17,129.24/25,693.86 = 7,261.82/x
  3. Step 3: Cross multiply
    17,129.24x = 25,693.86 × 7,261.82
  4. Step 4: Simplify right side
    17,129.24x = 186,584,186.43
  5. Step 5: Solve for x
    x = 186,584,186.43/17,129.24
  6. Step 6: Final answer
    x = 10,892.73

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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.