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Finding the Fourth Proportional to 27,872.76, 38,514.24 and 20,731.50

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Solution

The fourth proportional to 27,872.76, 38,514.24 and 20,731.50 is: 28,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.76 : 38,514.24 = 20,731.50 : x
  2. Step 2: Convert to fraction form
    27,872.76/38,514.24 = 20,731.50/x
  3. Step 3: Cross multiply
    27,872.76x = 38,514.24 × 20,731.50
  4. Step 4: Simplify right side
    27,872.76x = 798,457,966.56
  5. Step 5: Solve for x
    x = 798,457,966.56/27,872.76
  6. Step 6: Final answer
    x = 28,646.53

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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.