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Finding the Fourth Proportional to 20,031.25, 27,642.04 and 11,078.23

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Solution

The fourth proportional to 20,031.25, 27,642.04 and 11,078.23 is: 15,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.25 : 27,642.04 = 11,078.23 : x
  2. Step 2: Convert to fraction form
    20,031.25/27,642.04 = 11,078.23/x
  3. Step 3: Cross multiply
    20,031.25x = 27,642.04 × 11,078.23
  4. Step 4: Simplify right side
    20,031.25x = 306,224,876.79
  5. Step 5: Solve for x
    x = 306,224,876.79/20,031.25
  6. Step 6: Final answer
    x = 15,287.36

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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.