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Finding the Fourth Proportional to 22,663.87, 33,995.84 and 7,872.77

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Solution

The fourth proportional to 22,663.87, 33,995.84 and 7,872.77 is: 11,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.87 : 33,995.84 = 7,872.77 : x
  2. Step 2: Convert to fraction form
    22,663.87/33,995.84 = 7,872.77/x
  3. Step 3: Cross multiply
    22,663.87x = 33,995.84 × 7,872.77
  4. Step 4: Simplify right side
    22,663.87x = 267,641,474.90
  5. Step 5: Solve for x
    x = 267,641,474.90/22,663.87
  6. Step 6: Final answer
    x = 11,809.17

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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.