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Finding the Fourth Proportional to 12,166.64, 18,247.86 and 3,399.47

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Solution

The fourth proportional to 12,166.64, 18,247.86 and 3,399.47 is: 5,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.64 : 18,247.86 = 3,399.47 : x
  2. Step 2: Convert to fraction form
    12,166.64/18,247.86 = 3,399.47/x
  3. Step 3: Cross multiply
    12,166.64x = 18,247.86 × 3,399.47
  4. Step 4: Simplify right side
    12,166.64x = 62,033,052.63
  5. Step 5: Solve for x
    x = 62,033,052.63/12,166.64
  6. Step 6: Final answer
    x = 5,098.62

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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.