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Finding the Fourth Proportional to 18,028.14, 27,034.91 and 7,491

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Solution

The fourth proportional to 18,028.14, 27,034.91 and 7,491 is: 11,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,028.14 : 27,034.91 = 7,491 : x
  2. Step 2: Convert to fraction form
    18,028.14/27,034.91 = 7,491/x
  3. Step 3: Cross multiply
    18,028.14x = 27,034.91 × 7,491
  4. Step 4: Simplify right side
    18,028.14x = 202,518,473.36
  5. Step 5: Solve for x
    x = 202,518,473.36/18,028.14
  6. Step 6: Final answer
    x = 11,233.46

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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.