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Finding the Fourth Proportional to 20,242.40, 30,363.75 and 7,759.44

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Solution

The fourth proportional to 20,242.40, 30,363.75 and 7,759.44 is: 11,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.40 : 30,363.75 = 7,759.44 : x
  2. Step 2: Convert to fraction form
    20,242.40/30,363.75 = 7,759.44/x
  3. Step 3: Cross multiply
    20,242.40x = 30,363.75 × 7,759.44
  4. Step 4: Simplify right side
    20,242.40x = 235,605,696.30
  5. Step 5: Solve for x
    x = 235,605,696.30/20,242.40
  6. Step 6: Final answer
    x = 11,639.22

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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.