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Finding the Fourth Proportional to 20,178.81, 30,241.56 and 15,480.86

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Solution

The fourth proportional to 20,178.81, 30,241.56 and 15,480.86 is: 23,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.81 : 30,241.56 = 15,480.86 : x
  2. Step 2: Convert to fraction form
    20,178.81/30,241.56 = 15,480.86/x
  3. Step 3: Cross multiply
    20,178.81x = 30,241.56 × 15,480.86
  4. Step 4: Simplify right side
    20,178.81x = 468,165,356.54
  5. Step 5: Solve for x
    x = 468,165,356.54/20,178.81
  6. Step 6: Final answer
    x = 23,200.84

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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.