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Finding the Fourth Proportional to 22,381.84, 33,570.56 and 6,799.60

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Solution

The fourth proportional to 22,381.84, 33,570.56 and 6,799.60 is: 10,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.84 : 33,570.56 = 6,799.60 : x
  2. Step 2: Convert to fraction form
    22,381.84/33,570.56 = 6,799.60/x
  3. Step 3: Cross multiply
    22,381.84x = 33,570.56 × 6,799.60
  4. Step 4: Simplify right side
    22,381.84x = 228,266,379.78
  5. Step 5: Solve for x
    x = 228,266,379.78/22,381.84
  6. Step 6: Final answer
    x = 10,198.73

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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.