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Finding the Fourth Proportional to 18,102.20, 27,131.70 and 7,572.20

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Solution

The fourth proportional to 18,102.20, 27,131.70 and 7,572.20 is: 11,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.20 : 27,131.70 = 7,572.20 : x
  2. Step 2: Convert to fraction form
    18,102.20/27,131.70 = 7,572.20/x
  3. Step 3: Cross multiply
    18,102.20x = 27,131.70 × 7,572.20
  4. Step 4: Simplify right side
    18,102.20x = 205,446,658.74
  5. Step 5: Solve for x
    x = 205,446,658.74/18,102.20
  6. Step 6: Final answer
    x = 11,349.26

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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.