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Finding the Fourth Proportional to 27,746.34, 38,290.11 and 15,171.09

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Solution

The fourth proportional to 27,746.34, 38,290.11 and 15,171.09 is: 20,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.34 : 38,290.11 = 15,171.09 : x
  2. Step 2: Convert to fraction form
    27,746.34/38,290.11 = 15,171.09/x
  3. Step 3: Cross multiply
    27,746.34x = 38,290.11 × 15,171.09
  4. Step 4: Simplify right side
    27,746.34x = 580,902,704.92
  5. Step 5: Solve for x
    x = 580,902,704.92/27,746.34
  6. Step 6: Final answer
    x = 20,936.19

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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.