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Finding the Fourth Proportional to 27,684.92, 38,201.28 and 15,749.30

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Solution

The fourth proportional to 27,684.92, 38,201.28 and 15,749.30 is: 21,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.92 : 38,201.28 = 15,749.30 : x
  2. Step 2: Convert to fraction form
    27,684.92/38,201.28 = 15,749.30/x
  3. Step 3: Cross multiply
    27,684.92x = 38,201.28 × 15,749.30
  4. Step 4: Simplify right side
    27,684.92x = 601,643,419.10
  5. Step 5: Solve for x
    x = 601,643,419.10/27,684.92
  6. Step 6: Final answer
    x = 21,731.81

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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.