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Finding the Fourth Proportional to 20,358.38, 30,541.95 and 6,318.14

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Solution

The fourth proportional to 20,358.38, 30,541.95 and 6,318.14 is: 9,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.38 : 30,541.95 = 6,318.14 : x
  2. Step 2: Convert to fraction form
    20,358.38/30,541.95 = 6,318.14/x
  3. Step 3: Cross multiply
    20,358.38x = 30,541.95 × 6,318.14
  4. Step 4: Simplify right side
    20,358.38x = 192,968,163.26
  5. Step 5: Solve for x
    x = 192,968,163.26/20,358.38
  6. Step 6: Final answer
    x = 9,478.56

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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.