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Finding the Fourth Proportional to 17,500.80, 26,251.46 and 9,758.82

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Solution

The fourth proportional to 17,500.80, 26,251.46 and 9,758.82 is: 14,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.80 : 26,251.46 = 9,758.82 : x
  2. Step 2: Convert to fraction form
    17,500.80/26,251.46 = 9,758.82/x
  3. Step 3: Cross multiply
    17,500.80x = 26,251.46 × 9,758.82
  4. Step 4: Simplify right side
    17,500.80x = 256,183,272.88
  5. Step 5: Solve for x
    x = 256,183,272.88/17,500.80
  6. Step 6: Final answer
    x = 14,638.37

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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.