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Finding the Fourth Proportional to 22,097.64, 33,151.92 and 10,408.14

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Solution

The fourth proportional to 22,097.64, 33,151.92 and 10,408.14 is: 15,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.64 : 33,151.92 = 10,408.14 : x
  2. Step 2: Convert to fraction form
    22,097.64/33,151.92 = 10,408.14/x
  3. Step 3: Cross multiply
    22,097.64x = 33,151.92 × 10,408.14
  4. Step 4: Simplify right side
    22,097.64x = 345,049,824.63
  5. Step 5: Solve for x
    x = 345,049,824.63/22,097.64
  6. Step 6: Final answer
    x = 15,614.78

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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.