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Finding the Fourth Proportional to 27,872.70, 38,464.20 and 15,125.94

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Solution

The fourth proportional to 27,872.70, 38,464.20 and 15,125.94 is: 20,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.70 : 38,464.20 = 15,125.94 : x
  2. Step 2: Convert to fraction form
    27,872.70/38,464.20 = 15,125.94/x
  3. Step 3: Cross multiply
    27,872.70x = 38,464.20 × 15,125.94
  4. Step 4: Simplify right side
    27,872.70x = 581,807,181.35
  5. Step 5: Solve for x
    x = 581,807,181.35/27,872.70
  6. Step 6: Final answer
    x = 20,873.73

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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.