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Finding the Fourth Proportional to 22,096.68, 33,145.02 and 10,410.82

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Solution

The fourth proportional to 22,096.68, 33,145.02 and 10,410.82 is: 15,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.68 : 33,145.02 = 10,410.82 : x
  2. Step 2: Convert to fraction form
    22,096.68/33,145.02 = 10,410.82/x
  3. Step 3: Cross multiply
    22,096.68x = 33,145.02 × 10,410.82
  4. Step 4: Simplify right side
    22,096.68x = 345,066,837.12
  5. Step 5: Solve for x
    x = 345,066,837.12/22,096.68
  6. Step 6: Final answer
    x = 15,616.23

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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.