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Finding the Fourth Proportional to 27,877.96, 38,471.87 and 15,131.26

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Solution

The fourth proportional to 27,877.96, 38,471.87 and 15,131.26 is: 20,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.96 : 38,471.87 = 15,131.26 : x
  2. Step 2: Convert to fraction form
    27,877.96/38,471.87 = 15,131.26/x
  3. Step 3: Cross multiply
    27,877.96x = 38,471.87 × 15,131.26
  4. Step 4: Simplify right side
    27,877.96x = 582,127,867.66
  5. Step 5: Solve for x
    x = 582,127,867.66/27,877.96
  6. Step 6: Final answer
    x = 20,881.29

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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.