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Finding the Fourth Proportional to 17,677.53, 26,494.97 and 7,805.61

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Solution

The fourth proportional to 17,677.53, 26,494.97 and 7,805.61 is: 11,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.53 : 26,494.97 = 7,805.61 : x
  2. Step 2: Convert to fraction form
    17,677.53/26,494.97 = 7,805.61/x
  3. Step 3: Cross multiply
    17,677.53x = 26,494.97 × 7,805.61
  4. Step 4: Simplify right side
    17,677.53x = 206,809,363.75
  5. Step 5: Solve for x
    x = 206,809,363.75/17,677.53
  6. Step 6: Final answer
    x = 11,699.00

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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.