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Finding the Fourth Proportional to 20,022.19, 30,035.07 and 10,158.82

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Solution

The fourth proportional to 20,022.19, 30,035.07 and 10,158.82 is: 15,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.19 : 30,035.07 = 10,158.82 : x
  2. Step 2: Convert to fraction form
    20,022.19/30,035.07 = 10,158.82/x
  3. Step 3: Cross multiply
    20,022.19x = 30,035.07 × 10,158.82
  4. Step 4: Simplify right side
    20,022.19x = 305,120,794.73
  5. Step 5: Solve for x
    x = 305,120,794.73/20,022.19
  6. Step 6: Final answer
    x = 15,239.13

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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.