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Finding the Fourth Proportional to 22,659.36, 33,984.37 and 8,614.46

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Solution

The fourth proportional to 22,659.36, 33,984.37 and 8,614.46 is: 12,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.36 : 33,984.37 = 8,614.46 : x
  2. Step 2: Convert to fraction form
    22,659.36/33,984.37 = 8,614.46/x
  3. Step 3: Cross multiply
    22,659.36x = 33,984.37 × 8,614.46
  4. Step 4: Simplify right side
    22,659.36x = 292,756,995.99
  5. Step 5: Solve for x
    x = 292,756,995.99/22,659.36
  6. Step 6: Final answer
    x = 12,919.91

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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.