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Finding the Fourth Proportional to 17,129.77, 25,695.20 and 4,649.76

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Solution

The fourth proportional to 17,129.77, 25,695.20 and 4,649.76 is: 6,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.77 : 25,695.20 = 4,649.76 : x
  2. Step 2: Convert to fraction form
    17,129.77/25,695.20 = 4,649.76/x
  3. Step 3: Cross multiply
    17,129.77x = 25,695.20 × 4,649.76
  4. Step 4: Simplify right side
    17,129.77x = 119,476,524.78
  5. Step 5: Solve for x
    x = 119,476,524.78/17,129.77
  6. Step 6: Final answer
    x = 6,974.79

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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.