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Finding the Fourth Proportional to 18,131.76, 27,165.42 and 7,578.52

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Solution

The fourth proportional to 18,131.76, 27,165.42 and 7,578.52 is: 11,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.76 : 27,165.42 = 7,578.52 : x
  2. Step 2: Convert to fraction form
    18,131.76/27,165.42 = 7,578.52/x
  3. Step 3: Cross multiply
    18,131.76x = 27,165.42 × 7,578.52
  4. Step 4: Simplify right side
    18,131.76x = 205,873,678.78
  5. Step 5: Solve for x
    x = 205,873,678.78/18,131.76
  6. Step 6: Final answer
    x = 11,354.31

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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.