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Finding the Fourth Proportional to 12,249.72, 18,379.71 and 6,410.16

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Solution

The fourth proportional to 12,249.72, 18,379.71 and 6,410.16 is: 9,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.72 : 18,379.71 = 6,410.16 : x
  2. Step 2: Convert to fraction form
    12,249.72/18,379.71 = 6,410.16/x
  3. Step 3: Cross multiply
    12,249.72x = 18,379.71 × 6,410.16
  4. Step 4: Simplify right side
    12,249.72x = 117,816,881.85
  5. Step 5: Solve for x
    x = 117,816,881.85/12,249.72
  6. Step 6: Final answer
    x = 9,617.92

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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.