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Finding the Fourth Proportional to 17,657.49, 26,462.84 and 9,761.81

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Solution

The fourth proportional to 17,657.49, 26,462.84 and 9,761.81 is: 14,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.49 : 26,462.84 = 9,761.81 : x
  2. Step 2: Convert to fraction form
    17,657.49/26,462.84 = 9,761.81/x
  3. Step 3: Cross multiply
    17,657.49x = 26,462.84 × 9,761.81
  4. Step 4: Simplify right side
    17,657.49x = 258,325,216.14
  5. Step 5: Solve for x
    x = 258,325,216.14/17,657.49
  6. Step 6: Final answer
    x = 14,629.78

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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.