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Finding the Fourth Proportional to 17,908.28, 26,854.14 and 9,586.84

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Solution

The fourth proportional to 17,908.28, 26,854.14 and 9,586.84 is: 14,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.28 : 26,854.14 = 9,586.84 : x
  2. Step 2: Convert to fraction form
    17,908.28/26,854.14 = 9,586.84/x
  3. Step 3: Cross multiply
    17,908.28x = 26,854.14 × 9,586.84
  4. Step 4: Simplify right side
    17,908.28x = 257,446,343.52
  5. Step 5: Solve for x
    x = 257,446,343.52/17,908.28
  6. Step 6: Final answer
    x = 14,375.83

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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.