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Finding the Fourth Proportional to 20,209.95, 27,889.25 and 11,257.22

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Solution

The fourth proportional to 20,209.95, 27,889.25 and 11,257.22 is: 15,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.95 : 27,889.25 = 11,257.22 : x
  2. Step 2: Convert to fraction form
    20,209.95/27,889.25 = 11,257.22/x
  3. Step 3: Cross multiply
    20,209.95x = 27,889.25 × 11,257.22
  4. Step 4: Simplify right side
    20,209.95x = 313,955,436.32
  5. Step 5: Solve for x
    x = 313,955,436.32/20,209.95
  6. Step 6: Final answer
    x = 15,534.70

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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.