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Finding the Fourth Proportional to 22,605.81, 33,902.34 and 6,806.57

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Solution

The fourth proportional to 22,605.81, 33,902.34 and 6,806.57 is: 10,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.81 : 33,902.34 = 6,806.57 : x
  2. Step 2: Convert to fraction form
    22,605.81/33,902.34 = 6,806.57/x
  3. Step 3: Cross multiply
    22,605.81x = 33,902.34 × 6,806.57
  4. Step 4: Simplify right side
    22,605.81x = 230,758,480.86
  5. Step 5: Solve for x
    x = 230,758,480.86/22,605.81
  6. Step 6: Final answer
    x = 10,207.93

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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.