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Finding the Fourth Proportional to 22,408.88, 33,613.32 and 6,826.50

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Solution

The fourth proportional to 22,408.88, 33,613.32 and 6,826.50 is: 10,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.88 : 33,613.32 = 6,826.50 : x
  2. Step 2: Convert to fraction form
    22,408.88/33,613.32 = 6,826.50/x
  3. Step 3: Cross multiply
    22,408.88x = 33,613.32 × 6,826.50
  4. Step 4: Simplify right side
    22,408.88x = 229,461,294.85
  5. Step 5: Solve for x
    x = 229,461,294.85/22,408.88
  6. Step 6: Final answer
    x = 10,239.75

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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.