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Finding the Fourth Proportional to 20,252.63, 30,375.87 and 7,778.53

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Solution

The fourth proportional to 20,252.63, 30,375.87 and 7,778.53 is: 11,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.63 : 30,375.87 = 7,778.53 : x
  2. Step 2: Convert to fraction form
    20,252.63/30,375.87 = 7,778.53/x
  3. Step 3: Cross multiply
    20,252.63x = 30,375.87 × 7,778.53
  4. Step 4: Simplify right side
    20,252.63x = 236,279,616.07
  5. Step 5: Solve for x
    x = 236,279,616.07/20,252.63
  6. Step 6: Final answer
    x = 11,666.61

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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.