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Finding the Fourth Proportional to 27,731.68, 38,269.62 and 15,156.42

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Solution

The fourth proportional to 27,731.68, 38,269.62 and 15,156.42 is: 20,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.68 : 38,269.62 = 15,156.42 : x
  2. Step 2: Convert to fraction form
    27,731.68/38,269.62 = 15,156.42/x
  3. Step 3: Cross multiply
    27,731.68x = 38,269.62 × 15,156.42
  4. Step 4: Simplify right side
    27,731.68x = 580,030,433.96
  5. Step 5: Solve for x
    x = 580,030,433.96/27,731.68
  6. Step 6: Final answer
    x = 20,915.81

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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.