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Finding the Fourth Proportional to 36,164.70, 54,238.32 and 9,869.58

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Solution

The fourth proportional to 36,164.70, 54,238.32 and 9,869.58 is: 14,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.70 : 54,238.32 = 9,869.58 : x
  2. Step 2: Convert to fraction form
    36,164.70/54,238.32 = 9,869.58/x
  3. Step 3: Cross multiply
    36,164.70x = 54,238.32 × 9,869.58
  4. Step 4: Simplify right side
    36,164.70x = 535,309,438.31
  5. Step 5: Solve for x
    x = 535,309,438.31/36,164.70
  6. Step 6: Final answer
    x = 14,801.99

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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.