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Finding the Fourth Proportional to 17,531.82, 26,297.97 and 9,789.90

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Solution

The fourth proportional to 17,531.82, 26,297.97 and 9,789.90 is: 14,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.82 : 26,297.97 = 9,789.90 : x
  2. Step 2: Convert to fraction form
    17,531.82/26,297.97 = 9,789.90/x
  3. Step 3: Cross multiply
    17,531.82x = 26,297.97 × 9,789.90
  4. Step 4: Simplify right side
    17,531.82x = 257,454,496.50
  5. Step 5: Solve for x
    x = 257,454,496.50/17,531.82
  6. Step 6: Final answer
    x = 14,684.98

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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.