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Finding the Fourth Proportional to 25,843.40, 35,635.84 and 22,456.28

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Solution

The fourth proportional to 25,843.40, 35,635.84 and 22,456.28 is: 30,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.40 : 35,635.84 = 22,456.28 : x
  2. Step 2: Convert to fraction form
    25,843.40/35,635.84 = 22,456.28/x
  3. Step 3: Cross multiply
    25,843.40x = 35,635.84 × 22,456.28
  4. Step 4: Simplify right side
    25,843.40x = 800,248,401.08
  5. Step 5: Solve for x
    x = 800,248,401.08/25,843.40
  6. Step 6: Final answer
    x = 30,965.29

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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.