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Finding the Fourth Proportional to 22,003.80, 33,005.70 and 8,158.20

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Solution

The fourth proportional to 22,003.80, 33,005.70 and 8,158.20 is: 12,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.80 : 33,005.70 = 8,158.20 : x
  2. Step 2: Convert to fraction form
    22,003.80/33,005.70 = 8,158.20/x
  3. Step 3: Cross multiply
    22,003.80x = 33,005.70 × 8,158.20
  4. Step 4: Simplify right side
    22,003.80x = 269,267,101.74
  5. Step 5: Solve for x
    x = 269,267,101.74/22,003.80
  6. Step 6: Final answer
    x = 12,237.30

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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.