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Finding the Fourth Proportional to 20,617.39, 30,923.32 and 5,827.47

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Solution

The fourth proportional to 20,617.39, 30,923.32 and 5,827.47 is: 8,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.39 : 30,923.32 = 5,827.47 : x
  2. Step 2: Convert to fraction form
    20,617.39/30,923.32 = 5,827.47/x
  3. Step 3: Cross multiply
    20,617.39x = 30,923.32 × 5,827.47
  4. Step 4: Simplify right side
    20,617.39x = 180,204,719.60
  5. Step 5: Solve for x
    x = 180,204,719.60/20,617.39
  6. Step 6: Final answer
    x = 8,740.42

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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.