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Finding the Fourth Proportional to 20,074.80, 27,702.49 and 11,577.28

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Solution

The fourth proportional to 20,074.80, 27,702.49 and 11,577.28 is: 15,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.80 : 27,702.49 = 11,577.28 : x
  2. Step 2: Convert to fraction form
    20,074.80/27,702.49 = 11,577.28/x
  3. Step 3: Cross multiply
    20,074.80x = 27,702.49 × 11,577.28
  4. Step 4: Simplify right side
    20,074.80x = 320,719,385.23
  5. Step 5: Solve for x
    x = 320,719,385.23/20,074.80
  6. Step 6: Final answer
    x = 15,976.22

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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.