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Finding the Fourth Proportional to 20,178.74, 30,268.12 and 6,138.74

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Solution

The fourth proportional to 20,178.74, 30,268.12 and 6,138.74 is: 9,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.74 : 30,268.12 = 6,138.74 : x
  2. Step 2: Convert to fraction form
    20,178.74/30,268.12 = 6,138.74/x
  3. Step 3: Cross multiply
    20,178.74x = 30,268.12 × 6,138.74
  4. Step 4: Simplify right side
    20,178.74x = 185,808,118.97
  5. Step 5: Solve for x
    x = 185,808,118.97/20,178.74
  6. Step 6: Final answer
    x = 9,208.11

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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.