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Finding the Fourth Proportional to 12,546.23, 18,817.51 and 3,659.17

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Solution

The fourth proportional to 12,546.23, 18,817.51 and 3,659.17 is: 5,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.23 : 18,817.51 = 3,659.17 : x
  2. Step 2: Convert to fraction form
    12,546.23/18,817.51 = 3,659.17/x
  3. Step 3: Cross multiply
    12,546.23x = 18,817.51 × 3,659.17
  4. Step 4: Simplify right side
    12,546.23x = 68,856,468.07
  5. Step 5: Solve for x
    x = 68,856,468.07/12,546.23
  6. Step 6: Final answer
    x = 5,488.22

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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.