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Finding the Fourth Proportional to 22,196.52, 33,283.77 and 8,155.98

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Solution

The fourth proportional to 22,196.52, 33,283.77 and 8,155.98 is: 12,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.52 : 33,283.77 = 8,155.98 : x
  2. Step 2: Convert to fraction form
    22,196.52/33,283.77 = 8,155.98/x
  3. Step 3: Cross multiply
    22,196.52x = 33,283.77 × 8,155.98
  4. Step 4: Simplify right side
    22,196.52x = 271,461,762.44
  5. Step 5: Solve for x
    x = 271,461,762.44/22,196.52
  6. Step 6: Final answer
    x = 12,229.92

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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.