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Finding the Fourth Proportional to 20,194.66, 27,868.34 and 11,242.16

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Solution

The fourth proportional to 20,194.66, 27,868.34 and 11,242.16 is: 15,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.66 : 27,868.34 = 11,242.16 : x
  2. Step 2: Convert to fraction form
    20,194.66/27,868.34 = 11,242.16/x
  3. Step 3: Cross multiply
    20,194.66x = 27,868.34 × 11,242.16
  4. Step 4: Simplify right side
    20,194.66x = 313,300,337.21
  5. Step 5: Solve for x
    x = 313,300,337.21/20,194.66
  6. Step 6: Final answer
    x = 15,514.02

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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.