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Finding the Fourth Proportional to 12,232.17, 18,348.25 and 3,467.08

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Solution

The fourth proportional to 12,232.17, 18,348.25 and 3,467.08 is: 5,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.17 : 18,348.25 = 3,467.08 : x
  2. Step 2: Convert to fraction form
    12,232.17/18,348.25 = 3,467.08/x
  3. Step 3: Cross multiply
    12,232.17x = 18,348.25 × 3,467.08
  4. Step 4: Simplify right side
    12,232.17x = 63,614,905.15
  5. Step 5: Solve for x
    x = 63,614,905.15/12,232.17
  6. Step 6: Final answer
    x = 5,200.62

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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.