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Finding the Fourth Proportional to 20,233.40, 30,353.74 and 9,145.31

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Solution

The fourth proportional to 20,233.40, 30,353.74 and 9,145.31 is: 13,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.40 : 30,353.74 = 9,145.31 : x
  2. Step 2: Convert to fraction form
    20,233.40/30,353.74 = 9,145.31/x
  3. Step 3: Cross multiply
    20,233.40x = 30,353.74 × 9,145.31
  4. Step 4: Simplify right side
    20,233.40x = 277,594,187.33
  5. Step 5: Solve for x
    x = 277,594,187.33/20,233.40
  6. Step 6: Final answer
    x = 13,719.61

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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.