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Finding the Fourth Proportional to 15,791.78, 23,677.14 and 6,297.78

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Solution

The fourth proportional to 15,791.78, 23,677.14 and 6,297.78 is: 9,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.78 : 23,677.14 = 6,297.78 : x
  2. Step 2: Convert to fraction form
    15,791.78/23,677.14 = 6,297.78/x
  3. Step 3: Cross multiply
    15,791.78x = 23,677.14 × 6,297.78
  4. Step 4: Simplify right side
    15,791.78x = 149,113,418.75
  5. Step 5: Solve for x
    x = 149,113,418.75/15,791.78
  6. Step 6: Final answer
    x = 9,442.47

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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.