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Finding the Fourth Proportional to 20,239.74, 27,931 and 11,287.82

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Solution

The fourth proportional to 20,239.74, 27,931 and 11,287.82 is: 15,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239.74 : 27,931 = 11,287.82 : x
  2. Step 2: Convert to fraction form
    20,239.74/27,931 = 11,287.82/x
  3. Step 3: Cross multiply
    20,239.74x = 27,931 × 11,287.82
  4. Step 4: Simplify right side
    20,239.74x = 315,280,100.42
  5. Step 5: Solve for x
    x = 315,280,100.42/20,239.74
  6. Step 6: Final answer
    x = 15,577.28

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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.