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Finding the Fourth Proportional to 12,232.38, 18,347.92 and 3,467.32

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Solution

The fourth proportional to 12,232.38, 18,347.92 and 3,467.32 is: 5,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.38 : 18,347.92 = 3,467.32 : x
  2. Step 2: Convert to fraction form
    12,232.38/18,347.92 = 3,467.32/x
  3. Step 3: Cross multiply
    12,232.38x = 18,347.92 × 3,467.32
  4. Step 4: Simplify right side
    12,232.38x = 63,618,109.97
  5. Step 5: Solve for x
    x = 63,618,109.97/12,232.38
  6. Step 6: Final answer
    x = 5,200.80

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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.