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Finding the Fourth Proportional to 22,381.42, 33,572.85 and 6,799

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Solution

The fourth proportional to 22,381.42, 33,572.85 and 6,799 is: 10,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.42 : 33,572.85 = 6,799 : x
  2. Step 2: Convert to fraction form
    22,381.42/33,572.85 = 6,799/x
  3. Step 3: Cross multiply
    22,381.42x = 33,572.85 × 6,799
  4. Step 4: Simplify right side
    22,381.42x = 228,261,807.15
  5. Step 5: Solve for x
    x = 228,261,807.15/22,381.42
  6. Step 6: Final answer
    x = 10,198.72

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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.