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Finding the Fourth Proportional to 27,731, 38,269 and 15,155.76

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Solution

The fourth proportional to 27,731, 38,269 and 15,155.76 is: 20,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731 : 38,269 = 15,155.76 : x
  2. Step 2: Convert to fraction form
    27,731/38,269 = 15,155.76/x
  3. Step 3: Cross multiply
    27,731x = 38,269 × 15,155.76
  4. Step 4: Simplify right side
    27,731x = 579,995,779.44
  5. Step 5: Solve for x
    x = 579,995,779.44/27,731
  6. Step 6: Final answer
    x = 20,915.07

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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.