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Finding the Fourth Proportional to 36,164.36, 54,249.78 and 9,869.24

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Solution

The fourth proportional to 36,164.36, 54,249.78 and 9,869.24 is: 14,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.36 : 54,249.78 = 9,869.24 : x
  2. Step 2: Convert to fraction form
    36,164.36/54,249.78 = 9,869.24/x
  3. Step 3: Cross multiply
    36,164.36x = 54,249.78 × 9,869.24
  4. Step 4: Simplify right side
    36,164.36x = 535,404,098.77
  5. Step 5: Solve for x
    x = 535,404,098.77/36,164.36
  6. Step 6: Final answer
    x = 14,804.74

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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.