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Finding the Fourth Proportional to 17,508.26, 26,262.75 and 9,766.34

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Solution

The fourth proportional to 17,508.26, 26,262.75 and 9,766.34 is: 14,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.26 : 26,262.75 = 9,766.34 : x
  2. Step 2: Convert to fraction form
    17,508.26/26,262.75 = 9,766.34/x
  3. Step 3: Cross multiply
    17,508.26x = 26,262.75 × 9,766.34
  4. Step 4: Simplify right side
    17,508.26x = 256,490,945.84
  5. Step 5: Solve for x
    x = 256,490,945.84/17,508.26
  6. Step 6: Final answer
    x = 14,649.71

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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.