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Finding the Fourth Proportional to 20,081.49, 27,712.42 and 12,122.16

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Solution

The fourth proportional to 20,081.49, 27,712.42 and 12,122.16 is: 16,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.49 : 27,712.42 = 12,122.16 : x
  2. Step 2: Convert to fraction form
    20,081.49/27,712.42 = 12,122.16/x
  3. Step 3: Cross multiply
    20,081.49x = 27,712.42 × 12,122.16
  4. Step 4: Simplify right side
    20,081.49x = 335,934,389.23
  5. Step 5: Solve for x
    x = 335,934,389.23/20,081.49
  6. Step 6: Final answer
    x = 16,728.56

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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.