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Finding the Fourth Proportional to 22,197.77, 33,285.65 and 8,157.23

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Solution

The fourth proportional to 22,197.77, 33,285.65 and 8,157.23 is: 12,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.77 : 33,285.65 = 8,157.23 : x
  2. Step 2: Convert to fraction form
    22,197.77/33,285.65 = 8,157.23/x
  3. Step 3: Cross multiply
    22,197.77x = 33,285.65 × 8,157.23
  4. Step 4: Simplify right side
    22,197.77x = 271,518,661.96
  5. Step 5: Solve for x
    x = 271,518,661.96/22,197.77
  6. Step 6: Final answer
    x = 12,231.80

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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.