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Finding the Fourth Proportional to 27,771.14, 38,324.01 and 15,024.28

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Solution

The fourth proportional to 27,771.14, 38,324.01 and 15,024.28 is: 20,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.14 : 38,324.01 = 15,024.28 : x
  2. Step 2: Convert to fraction form
    27,771.14/38,324.01 = 15,024.28/x
  3. Step 3: Cross multiply
    27,771.14x = 38,324.01 × 15,024.28
  4. Step 4: Simplify right side
    27,771.14x = 575,790,504.81
  5. Step 5: Solve for x
    x = 575,790,504.81/27,771.14
  6. Step 6: Final answer
    x = 20,733.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.