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Finding the Fourth Proportional to 27,772.72, 38,286.49 and 19,801.10

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Solution

The fourth proportional to 27,772.72, 38,286.49 and 19,801.10 is: 27,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.72 : 38,286.49 = 19,801.10 : x
  2. Step 2: Convert to fraction form
    27,772.72/38,286.49 = 19,801.10/x
  3. Step 3: Cross multiply
    27,772.72x = 38,286.49 × 19,801.10
  4. Step 4: Simplify right side
    27,772.72x = 758,114,617.14
  5. Step 5: Solve for x
    x = 758,114,617.14/27,772.72
  6. Step 6: Final answer
    x = 27,297.10

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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.