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Finding the Fourth Proportional to 20,613.69, 30,921.75 and 5,822.28

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Solution

The fourth proportional to 20,613.69, 30,921.75 and 5,822.28 is: 8,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.69 : 30,921.75 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    20,613.69/30,921.75 = 5,822.28/x
  3. Step 3: Cross multiply
    20,613.69x = 30,921.75 × 5,822.28
  4. Step 4: Simplify right side
    20,613.69x = 180,035,086.59
  5. Step 5: Solve for x
    x = 180,035,086.59/20,613.69
  6. Step 6: Final answer
    x = 8,733.76

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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.