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Finding the Fourth Proportional to 22,200.87, 33,313.90 and 8,159.07

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Solution

The fourth proportional to 22,200.87, 33,313.90 and 8,159.07 is: 12,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.87 : 33,313.90 = 8,159.07 : x
  2. Step 2: Convert to fraction form
    22,200.87/33,313.90 = 8,159.07/x
  3. Step 3: Cross multiply
    22,200.87x = 33,313.90 × 8,159.07
  4. Step 4: Simplify right side
    22,200.87x = 271,810,442.07
  5. Step 5: Solve for x
    x = 271,810,442.07/22,200.87
  6. Step 6: Final answer
    x = 12,243.23

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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.