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Finding the Fourth Proportional to 27,872.41, 38,464.68 and 15,772

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Solution

The fourth proportional to 27,872.41, 38,464.68 and 15,772 is: 21,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.41 : 38,464.68 = 15,772 : x
  2. Step 2: Convert to fraction form
    27,872.41/38,464.68 = 15,772/x
  3. Step 3: Cross multiply
    27,872.41x = 38,464.68 × 15,772
  4. Step 4: Simplify right side
    27,872.41x = 606,664,932.96
  5. Step 5: Solve for x
    x = 606,664,932.96/27,872.41
  6. Step 6: Final answer
    x = 21,765.79

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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.