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Finding the Fourth Proportional to 20,261.92, 27,974.29 and 13,899.17

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Solution

The fourth proportional to 20,261.92, 27,974.29 and 13,899.17 is: 19,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.92 : 27,974.29 = 13,899.17 : x
  2. Step 2: Convert to fraction form
    20,261.92/27,974.29 = 13,899.17/x
  3. Step 3: Cross multiply
    20,261.92x = 27,974.29 × 13,899.17
  4. Step 4: Simplify right side
    20,261.92x = 388,819,412.34
  5. Step 5: Solve for x
    x = 388,819,412.34/20,261.92
  6. Step 6: Final answer
    x = 19,189.66

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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.