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Finding the Fourth Proportional to 12,138.72, 18,201 and 3,816.48

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Solution

The fourth proportional to 12,138.72, 18,201 and 3,816.48 is: 5,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.72 : 18,201 = 3,816.48 : x
  2. Step 2: Convert to fraction form
    12,138.72/18,201 = 3,816.48/x
  3. Step 3: Cross multiply
    12,138.72x = 18,201 × 3,816.48
  4. Step 4: Simplify right side
    12,138.72x = 69,463,752.48
  5. Step 5: Solve for x
    x = 69,463,752.48/12,138.72
  6. Step 6: Final answer
    x = 5,722.49

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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.