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Finding the Fourth Proportional to 20,221.50, 30,332.25 and 5,629.50

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Solution

The fourth proportional to 20,221.50, 30,332.25 and 5,629.50 is: 8,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.50 : 30,332.25 = 5,629.50 : x
  2. Step 2: Convert to fraction form
    20,221.50/30,332.25 = 5,629.50/x
  3. Step 3: Cross multiply
    20,221.50x = 30,332.25 × 5,629.50
  4. Step 4: Simplify right side
    20,221.50x = 170,755,401.38
  5. Step 5: Solve for x
    x = 170,755,401.38/20,221.50
  6. Step 6: Final answer
    x = 8,444.25

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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.