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Finding the Fourth Proportional to 22,446.78, 33,658.26 and 6,860.22

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Solution

The fourth proportional to 22,446.78, 33,658.26 and 6,860.22 is: 10,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.78 : 33,658.26 = 6,860.22 : x
  2. Step 2: Convert to fraction form
    22,446.78/33,658.26 = 6,860.22/x
  3. Step 3: Cross multiply
    22,446.78x = 33,658.26 × 6,860.22
  4. Step 4: Simplify right side
    22,446.78x = 230,903,068.42
  5. Step 5: Solve for x
    x = 230,903,068.42/22,446.78
  6. Step 6: Final answer
    x = 10,286.69

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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.