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Finding the Fourth Proportional to 22,643.43, 33,944.16 and 8,599.24

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Solution

The fourth proportional to 22,643.43, 33,944.16 and 8,599.24 is: 12,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.43 : 33,944.16 = 8,599.24 : x
  2. Step 2: Convert to fraction form
    22,643.43/33,944.16 = 8,599.24/x
  3. Step 3: Cross multiply
    22,643.43x = 33,944.16 × 8,599.24
  4. Step 4: Simplify right side
    22,643.43x = 291,893,978.44
  5. Step 5: Solve for x
    x = 291,893,978.44/22,643.43
  6. Step 6: Final answer
    x = 12,890.89

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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.