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Finding the Fourth Proportional to 22,649.58, 33,935.99 and 13,866.14

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Solution

The fourth proportional to 22,649.58, 33,935.99 and 13,866.14 is: 20,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.58 : 33,935.99 = 13,866.14 : x
  2. Step 2: Convert to fraction form
    22,649.58/33,935.99 = 13,866.14/x
  3. Step 3: Cross multiply
    22,649.58x = 33,935.99 × 13,866.14
  4. Step 4: Simplify right side
    22,649.58x = 470,560,949.37
  5. Step 5: Solve for x
    x = 470,560,949.37/22,649.58
  6. Step 6: Final answer
    x = 20,775.70

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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.