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Finding the Fourth Proportional to 22,467.87, 33,710.31 and 9,319.14

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Solution

The fourth proportional to 22,467.87, 33,710.31 and 9,319.14 is: 13,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.87 : 33,710.31 = 9,319.14 : x
  2. Step 2: Convert to fraction form
    22,467.87/33,710.31 = 9,319.14/x
  3. Step 3: Cross multiply
    22,467.87x = 33,710.31 × 9,319.14
  4. Step 4: Simplify right side
    22,467.87x = 314,151,098.33
  5. Step 5: Solve for x
    x = 314,151,098.33/22,467.87
  6. Step 6: Final answer
    x = 13,982.24

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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.