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Finding the Fourth Proportional to 20,133.66, 30,201.99 and 5,342.25

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Solution

The fourth proportional to 20,133.66, 30,201.99 and 5,342.25 is: 8,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.66 : 30,201.99 = 5,342.25 : x
  2. Step 2: Convert to fraction form
    20,133.66/30,201.99 = 5,342.25/x
  3. Step 3: Cross multiply
    20,133.66x = 30,201.99 × 5,342.25
  4. Step 4: Simplify right side
    20,133.66x = 161,346,581.08
  5. Step 5: Solve for x
    x = 161,346,581.08/20,133.66
  6. Step 6: Final answer
    x = 8,013.77

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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.