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Finding the Fourth Proportional to 12,324.39, 18,473.01 and 5,745.16

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Solution

The fourth proportional to 12,324.39, 18,473.01 and 5,745.16 is: 8,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.39 : 18,473.01 = 5,745.16 : x
  2. Step 2: Convert to fraction form
    12,324.39/18,473.01 = 5,745.16/x
  3. Step 3: Cross multiply
    12,324.39x = 18,473.01 × 5,745.16
  4. Step 4: Simplify right side
    12,324.39x = 106,130,398.13
  5. Step 5: Solve for x
    x = 106,130,398.13/12,324.39
  6. Step 6: Final answer
    x = 8,611.41

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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.