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Finding the Fourth Proportional to 20,850.78, 28,773.75 and 11,419.32

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Solution

The fourth proportional to 20,850.78, 28,773.75 and 11,419.32 is: 15,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.78 : 28,773.75 = 11,419.32 : x
  2. Step 2: Convert to fraction form
    20,850.78/28,773.75 = 11,419.32/x
  3. Step 3: Cross multiply
    20,850.78x = 28,773.75 × 11,419.32
  4. Step 4: Simplify right side
    20,850.78x = 328,576,658.85
  5. Step 5: Solve for x
    x = 328,576,658.85/20,850.78
  6. Step 6: Final answer
    x = 15,758.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.