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Finding the Fourth Proportional to 22,826.85, 34,239.07 and 8,035.86

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Solution

The fourth proportional to 22,826.85, 34,239.07 and 8,035.86 is: 12,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.85 : 34,239.07 = 8,035.86 : x
  2. Step 2: Convert to fraction form
    22,826.85/34,239.07 = 8,035.86/x
  3. Step 3: Cross multiply
    22,826.85x = 34,239.07 × 8,035.86
  4. Step 4: Simplify right side
    22,826.85x = 275,140,373.05
  5. Step 5: Solve for x
    x = 275,140,373.05/22,826.85
  6. Step 6: Final answer
    x = 12,053.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.