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Finding the Fourth Proportional to 12,469.68, 18,647.66 and 9,309.36

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Solution

The fourth proportional to 12,469.68, 18,647.66 and 9,309.36 is: 13,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.68 : 18,647.66 = 9,309.36 : x
  2. Step 2: Convert to fraction form
    12,469.68/18,647.66 = 9,309.36/x
  3. Step 3: Cross multiply
    12,469.68x = 18,647.66 × 9,309.36
  4. Step 4: Simplify right side
    12,469.68x = 173,597,780.10
  5. Step 5: Solve for x
    x = 173,597,780.10/12,469.68
  6. Step 6: Final answer
    x = 13,921.59

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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.