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Finding the Fourth Proportional to 22,504.26, 33,761.17 and 7,709.20

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Solution

The fourth proportional to 22,504.26, 33,761.17 and 7,709.20 is: 11,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.26 : 33,761.17 = 7,709.20 : x
  2. Step 2: Convert to fraction form
    22,504.26/33,761.17 = 7,709.20/x
  3. Step 3: Cross multiply
    22,504.26x = 33,761.17 × 7,709.20
  4. Step 4: Simplify right side
    22,504.26x = 260,271,611.76
  5. Step 5: Solve for x
    x = 260,271,611.76/22,504.26
  6. Step 6: Final answer
    x = 11,565.44

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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.