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Finding the Fourth Proportional to 22,002.26, 33,006.36 and 6,419.78

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Solution

The fourth proportional to 22,002.26, 33,006.36 and 6,419.78 is: 9,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.26 : 33,006.36 = 6,419.78 : x
  2. Step 2: Convert to fraction form
    22,002.26/33,006.36 = 6,419.78/x
  3. Step 3: Cross multiply
    22,002.26x = 33,006.36 × 6,419.78
  4. Step 4: Simplify right side
    22,002.26x = 211,893,569.80
  5. Step 5: Solve for x
    x = 211,893,569.80/22,002.26
  6. Step 6: Final answer
    x = 9,630.54

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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.