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Finding the Fourth Proportional to 20,194.57, 30,291.42 and 5,403.49

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Solution

The fourth proportional to 20,194.57, 30,291.42 and 5,403.49 is: 8,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.57 : 30,291.42 = 5,403.49 : x
  2. Step 2: Convert to fraction form
    20,194.57/30,291.42 = 5,403.49/x
  3. Step 3: Cross multiply
    20,194.57x = 30,291.42 × 5,403.49
  4. Step 4: Simplify right side
    20,194.57x = 163,679,329.59
  5. Step 5: Solve for x
    x = 163,679,329.59/20,194.57
  6. Step 6: Final answer
    x = 8,105.12

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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.