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Finding the Fourth Proportional to 20,236.40, 30,358.25 and 9,148.31

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Solution

The fourth proportional to 20,236.40, 30,358.25 and 9,148.31 is: 13,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.40 : 30,358.25 = 9,148.31 : x
  2. Step 2: Convert to fraction form
    20,236.40/30,358.25 = 9,148.31/x
  3. Step 3: Cross multiply
    20,236.40x = 30,358.25 × 9,148.31
  4. Step 4: Simplify right side
    20,236.40x = 277,726,682.06
  5. Step 5: Solve for x
    x = 277,726,682.06/20,236.40
  6. Step 6: Final answer
    x = 13,724.12

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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.