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Finding the Fourth Proportional to 20,632.18, 30,952.44 and 8,158.12

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Solution

The fourth proportional to 20,632.18, 30,952.44 and 8,158.12 is: 12,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.18 : 30,952.44 = 8,158.12 : x
  2. Step 2: Convert to fraction form
    20,632.18/30,952.44 = 8,158.12/x
  3. Step 3: Cross multiply
    20,632.18x = 30,952.44 × 8,158.12
  4. Step 4: Simplify right side
    20,632.18x = 252,513,719.81
  5. Step 5: Solve for x
    x = 252,513,719.81/20,632.18
  6. Step 6: Final answer
    x = 12,238.83

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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.