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Finding the Fourth Proportional to 27,744.13, 41,620.14 and 9,018.14

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Solution

The fourth proportional to 27,744.13, 41,620.14 and 9,018.14 is: 13,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.13 : 41,620.14 = 9,018.14 : x
  2. Step 2: Convert to fraction form
    27,744.13/41,620.14 = 9,018.14/x
  3. Step 3: Cross multiply
    27,744.13x = 41,620.14 × 9,018.14
  4. Step 4: Simplify right side
    27,744.13x = 375,336,353.39
  5. Step 5: Solve for x
    x = 375,336,353.39/27,744.13
  6. Step 6: Final answer
    x = 13,528.50

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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.