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Finding the Fourth Proportional to 22,834.66, 34,249.22 and 6,193.66

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Solution

The fourth proportional to 22,834.66, 34,249.22 and 6,193.66 is: 9,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.66 : 34,249.22 = 6,193.66 : x
  2. Step 2: Convert to fraction form
    22,834.66/34,249.22 = 6,193.66/x
  3. Step 3: Cross multiply
    22,834.66x = 34,249.22 × 6,193.66
  4. Step 4: Simplify right side
    22,834.66x = 212,128,023.95
  5. Step 5: Solve for x
    x = 212,128,023.95/22,834.66
  6. Step 6: Final answer
    x = 9,289.74

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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.