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Finding the Fourth Proportional to 22,111.88, 33,179.34 and 9,797

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Solution

The fourth proportional to 22,111.88, 33,179.34 and 9,797 is: 14,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111.88 : 33,179.34 = 9,797 : x
  2. Step 2: Convert to fraction form
    22,111.88/33,179.34 = 9,797/x
  3. Step 3: Cross multiply
    22,111.88x = 33,179.34 × 9,797
  4. Step 4: Simplify right side
    22,111.88x = 325,057,993.98
  5. Step 5: Solve for x
    x = 325,057,993.98/22,111.88
  6. Step 6: Final answer
    x = 14,700.60

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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.