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Finding the Fourth Proportional to 20,255.25, 30,396.38 and 7,785.57

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Solution

The fourth proportional to 20,255.25, 30,396.38 and 7,785.57 is: 11,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.25 : 30,396.38 = 7,785.57 : x
  2. Step 2: Convert to fraction form
    20,255.25/30,396.38 = 7,785.57/x
  3. Step 3: Cross multiply
    20,255.25x = 30,396.38 × 7,785.57
  4. Step 4: Simplify right side
    20,255.25x = 236,653,144.24
  5. Step 5: Solve for x
    x = 236,653,144.24/20,255.25
  6. Step 6: Final answer
    x = 11,683.55

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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.