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Finding the Fourth Proportional to 27,878.23, 38,471.99 and 15,131.41

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Solution

The fourth proportional to 27,878.23, 38,471.99 and 15,131.41 is: 20,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.23 : 38,471.99 = 15,131.41 : x
  2. Step 2: Convert to fraction form
    27,878.23/38,471.99 = 15,131.41/x
  3. Step 3: Cross multiply
    27,878.23x = 38,471.99 × 15,131.41
  4. Step 4: Simplify right side
    27,878.23x = 582,135,454.21
  5. Step 5: Solve for x
    x = 582,135,454.21/27,878.23
  6. Step 6: Final answer
    x = 20,881.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.