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Finding the Fourth Proportional to 36,812.84, 55,228.07 and 11,855.23

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Solution

The fourth proportional to 36,812.84, 55,228.07 and 11,855.23 is: 17,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812.84 : 55,228.07 = 11,855.23 : x
  2. Step 2: Convert to fraction form
    36,812.84/55,228.07 = 11,855.23/x
  3. Step 3: Cross multiply
    36,812.84x = 55,228.07 × 11,855.23
  4. Step 4: Simplify right side
    36,812.84x = 654,741,472.31
  5. Step 5: Solve for x
    x = 654,741,472.31/36,812.84
  6. Step 6: Final answer
    x = 17,785.68

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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.