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Finding the Fourth Proportional to 27,842.96, 38,423.55 and 15,096.11

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Solution

The fourth proportional to 27,842.96, 38,423.55 and 15,096.11 is: 20,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.96 : 38,423.55 = 15,096.11 : x
  2. Step 2: Convert to fraction form
    27,842.96/38,423.55 = 15,096.11/x
  3. Step 3: Cross multiply
    27,842.96x = 38,423.55 × 15,096.11
  4. Step 4: Simplify right side
    27,842.96x = 580,046,233.45
  5. Step 5: Solve for x
    x = 580,046,233.45/27,842.96
  6. Step 6: Final answer
    x = 20,832.78

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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.