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Finding the Fourth Proportional to 26,297.25, 36,290.18 and 15,546

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Solution

The fourth proportional to 26,297.25, 36,290.18 and 15,546 is: 21,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297.25 : 36,290.18 = 15,546 : x
  2. Step 2: Convert to fraction form
    26,297.25/36,290.18 = 15,546/x
  3. Step 3: Cross multiply
    26,297.25x = 36,290.18 × 15,546
  4. Step 4: Simplify right side
    26,297.25x = 564,167,060.55
  5. Step 5: Solve for x
    x = 564,167,060.55/26,297.25
  6. Step 6: Final answer
    x = 21,453.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.