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Finding the Fourth Proportional to 12,238.72, 18,364.80 and 6,400.48

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Solution

The fourth proportional to 12,238.72, 18,364.80 and 6,400.48 is: 9,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.72 : 18,364.80 = 6,400.48 : x
  2. Step 2: Convert to fraction form
    12,238.72/18,364.80 = 6,400.48/x
  3. Step 3: Cross multiply
    12,238.72x = 18,364.80 × 6,400.48
  4. Step 4: Simplify right side
    12,238.72x = 117,543,535.10
  5. Step 5: Solve for x
    x = 117,543,535.10/12,238.72
  6. Step 6: Final answer
    x = 9,604.23

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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.