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Finding the Fourth Proportional to 27,735.78, 38,279.34 and 15,800.22

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Solution

The fourth proportional to 27,735.78, 38,279.34 and 15,800.22 is: 21,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.78 : 38,279.34 = 15,800.22 : x
  2. Step 2: Convert to fraction form
    27,735.78/38,279.34 = 15,800.22/x
  3. Step 3: Cross multiply
    27,735.78x = 38,279.34 × 15,800.22
  4. Step 4: Simplify right side
    27,735.78x = 604,821,993.45
  5. Step 5: Solve for x
    x = 604,821,993.45/27,735.78
  6. Step 6: Final answer
    x = 21,806.56

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