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Finding the Fourth Proportional to 20,209.80, 27,886.23 and 11,255.25

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Solution

The fourth proportional to 20,209.80, 27,886.23 and 11,255.25 is: 15,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.80 : 27,886.23 = 11,255.25 : x
  2. Step 2: Convert to fraction form
    20,209.80/27,886.23 = 11,255.25/x
  3. Step 3: Cross multiply
    20,209.80x = 27,886.23 × 11,255.25
  4. Step 4: Simplify right side
    20,209.80x = 313,866,490.21
  5. Step 5: Solve for x
    x = 313,866,490.21/20,209.80
  6. Step 6: Final answer
    x = 15,530.41

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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.