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Finding the Fourth Proportional to 22,649.91, 33,940.23 and 9,495.11

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Solution

The fourth proportional to 22,649.91, 33,940.23 and 9,495.11 is: 14,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.91 : 33,940.23 = 9,495.11 : x
  2. Step 2: Convert to fraction form
    22,649.91/33,940.23 = 9,495.11/x
  3. Step 3: Cross multiply
    22,649.91x = 33,940.23 × 9,495.11
  4. Step 4: Simplify right side
    22,649.91x = 322,266,217.28
  5. Step 5: Solve for x
    x = 322,266,217.28/22,649.91
  6. Step 6: Final answer
    x = 14,228.15

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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.