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Finding the Fourth Proportional to 20,235.40, 30,356.75 and 9,147.31

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Solution

The fourth proportional to 20,235.40, 30,356.75 and 9,147.31 is: 13,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.40 : 30,356.75 = 9,147.31 : x
  2. Step 2: Convert to fraction form
    20,235.40/30,356.75 = 9,147.31/x
  3. Step 3: Cross multiply
    20,235.40x = 30,356.75 × 9,147.31
  4. Step 4: Simplify right side
    20,235.40x = 277,682,405.32
  5. Step 5: Solve for x
    x = 277,682,405.32/20,235.40
  6. Step 6: Final answer
    x = 13,722.61

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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.