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Finding the Fourth Proportional to 20,420.39, 30,632.67 and 5,629.29

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Solution

The fourth proportional to 20,420.39, 30,632.67 and 5,629.29 is: 8,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.39 : 30,632.67 = 5,629.29 : x
  2. Step 2: Convert to fraction form
    20,420.39/30,632.67 = 5,629.29/x
  3. Step 3: Cross multiply
    20,420.39x = 30,632.67 × 5,629.29
  4. Step 4: Simplify right side
    20,420.39x = 172,440,182.90
  5. Step 5: Solve for x
    x = 172,440,182.90/20,420.39
  6. Step 6: Final answer
    x = 8,444.51

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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.