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Finding the Fourth Proportional to 17,691.45, 26,512.98 and 9,782.24

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Solution

The fourth proportional to 17,691.45, 26,512.98 and 9,782.24 is: 14,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.45 : 26,512.98 = 9,782.24 : x
  2. Step 2: Convert to fraction form
    17,691.45/26,512.98 = 9,782.24/x
  3. Step 3: Cross multiply
    17,691.45x = 26,512.98 × 9,782.24
  4. Step 4: Simplify right side
    17,691.45x = 259,356,200.91
  5. Step 5: Solve for x
    x = 259,356,200.91/17,691.45
  6. Step 6: Final answer
    x = 14,659.97

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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.