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Finding the Fourth Proportional to 27,872.88, 38,464.44 and 15,297.36

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Solution

The fourth proportional to 27,872.88, 38,464.44 and 15,297.36 is: 21,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.88 : 38,464.44 = 15,297.36 : x
  2. Step 2: Convert to fraction form
    27,872.88/38,464.44 = 15,297.36/x
  3. Step 3: Cross multiply
    27,872.88x = 38,464.44 × 15,297.36
  4. Step 4: Simplify right side
    27,872.88x = 588,404,385.88
  5. Step 5: Solve for x
    x = 588,404,385.88/27,872.88
  6. Step 6: Final answer
    x = 21,110.28

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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.