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Finding the Fourth Proportional to 22,405.70, 33,613.38 and 6,822.92

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Solution

The fourth proportional to 22,405.70, 33,613.38 and 6,822.92 is: 10,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.70 : 33,613.38 = 6,822.92 : x
  2. Step 2: Convert to fraction form
    22,405.70/33,613.38 = 6,822.92/x
  3. Step 3: Cross multiply
    22,405.70x = 33,613.38 × 6,822.92
  4. Step 4: Simplify right side
    22,405.70x = 229,341,402.67
  5. Step 5: Solve for x
    x = 229,341,402.67/22,405.70
  6. Step 6: Final answer
    x = 10,235.85

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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.