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Finding the Fourth Proportional to 22,949.87, 34,427.84 and 9,805.25

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Solution

The fourth proportional to 22,949.87, 34,427.84 and 9,805.25 is: 14,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.87 : 34,427.84 = 9,805.25 : x
  2. Step 2: Convert to fraction form
    22,949.87/34,427.84 = 9,805.25/x
  3. Step 3: Cross multiply
    22,949.87x = 34,427.84 × 9,805.25
  4. Step 4: Simplify right side
    22,949.87x = 337,573,615.20
  5. Step 5: Solve for x
    x = 337,573,615.20/22,949.87
  6. Step 6: Final answer
    x = 14,709.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.