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Finding the Fourth Proportional to 18,066, 27,094.40 and 4,917.68

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Solution

The fourth proportional to 18,066, 27,094.40 and 4,917.68 is: 7,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066 : 27,094.40 = 4,917.68 : x
  2. Step 2: Convert to fraction form
    18,066/27,094.40 = 4,917.68/x
  3. Step 3: Cross multiply
    18,066x = 27,094.40 × 4,917.68
  4. Step 4: Simplify right side
    18,066x = 133,241,588.99
  5. Step 5: Solve for x
    x = 133,241,588.99/18,066
  6. Step 6: Final answer
    x = 7,375.27

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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.