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Finding the Fourth Proportional to 22,231.30, 33,309.92 and 15,643.64

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Solution

The fourth proportional to 22,231.30, 33,309.92 and 15,643.64 is: 23,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.30 : 33,309.92 = 15,643.64 : x
  2. Step 2: Convert to fraction form
    22,231.30/33,309.92 = 15,643.64/x
  3. Step 3: Cross multiply
    22,231.30x = 33,309.92 × 15,643.64
  4. Step 4: Simplify right side
    22,231.30x = 521,088,401.97
  5. Step 5: Solve for x
    x = 521,088,401.97/22,231.30
  6. Step 6: Final answer
    x = 23,439.41

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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.