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Finding the Fourth Proportional to 21,297.25, 31,974.15 and 18,197.17

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Solution

The fourth proportional to 21,297.25, 31,974.15 and 18,197.17 is: 27,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.25 : 31,974.15 = 18,197.17 : x
  2. Step 2: Convert to fraction form
    21,297.25/31,974.15 = 18,197.17/x
  3. Step 3: Cross multiply
    21,297.25x = 31,974.15 × 18,197.17
  4. Step 4: Simplify right side
    21,297.25x = 581,839,043.16
  5. Step 5: Solve for x
    x = 581,839,043.16/21,297.25
  6. Step 6: Final answer
    x = 27,319.91

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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.