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Finding the Fourth Proportional to 18,109.86, 27,164.79 and 4,962.33

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Solution

The fourth proportional to 18,109.86, 27,164.79 and 4,962.33 is: 7,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109.86 : 27,164.79 = 4,962.33 : x
  2. Step 2: Convert to fraction form
    18,109.86/27,164.79 = 4,962.33/x
  3. Step 3: Cross multiply
    18,109.86x = 27,164.79 × 4,962.33
  4. Step 4: Simplify right side
    18,109.86x = 134,800,652.36
  5. Step 5: Solve for x
    x = 134,800,652.36/18,109.86
  6. Step 6: Final answer
    x = 7,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.