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Finding the Fourth Proportional to 22,649.16, 33,939.10 and 9,494.36

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Solution

The fourth proportional to 22,649.16, 33,939.10 and 9,494.36 is: 14,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.16 : 33,939.10 = 9,494.36 : x
  2. Step 2: Convert to fraction form
    22,649.16/33,939.10 = 9,494.36/x
  3. Step 3: Cross multiply
    22,649.16x = 33,939.10 × 9,494.36
  4. Step 4: Simplify right side
    22,649.16x = 322,230,033.48
  5. Step 5: Solve for x
    x = 322,230,033.48/22,649.16
  6. Step 6: Final answer
    x = 14,227.02

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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.