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Finding the Fourth Proportional to 20,277, 27,974.43 and 12,720.24

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Solution

The fourth proportional to 20,277, 27,974.43 and 12,720.24 is: 17,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 27,974.43 = 12,720.24 : x
  2. Step 2: Convert to fraction form
    20,277/27,974.43 = 12,720.24/x
  3. Step 3: Cross multiply
    20,277x = 27,974.43 × 12,720.24
  4. Step 4: Simplify right side
    20,277x = 355,841,463.46
  5. Step 5: Solve for x
    x = 355,841,463.46/20,277
  6. Step 6: Final answer
    x = 17,549.02

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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.