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Finding the Fourth Proportional to 22,199.52, 33,288.27 and 8,158.98

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Solution

The fourth proportional to 22,199.52, 33,288.27 and 8,158.98 is: 12,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.52 : 33,288.27 = 8,158.98 : x
  2. Step 2: Convert to fraction form
    22,199.52/33,288.27 = 8,158.98/x
  3. Step 3: Cross multiply
    22,199.52x = 33,288.27 × 8,158.98
  4. Step 4: Simplify right side
    22,199.52x = 271,598,329.16
  5. Step 5: Solve for x
    x = 271,598,329.16/22,199.52
  6. Step 6: Final answer
    x = 12,234.42

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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.