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Finding the Fourth Proportional to 27,771.39, 38,324.35 and 15,024.53

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Solution

The fourth proportional to 27,771.39, 38,324.35 and 15,024.53 is: 20,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.39 : 38,324.35 = 15,024.53 : x
  2. Step 2: Convert to fraction form
    27,771.39/38,324.35 = 15,024.53/x
  3. Step 3: Cross multiply
    27,771.39x = 38,324.35 × 15,024.53
  4. Step 4: Simplify right side
    27,771.39x = 575,805,346.31
  5. Step 5: Solve for x
    x = 575,805,346.31/27,771.39
  6. Step 6: Final answer
    x = 20,733.76

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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.