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Finding the Fourth Proportional to 27,516.92, 37,974.24 and 15,580

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Solution

The fourth proportional to 27,516.92, 37,974.24 and 15,580 is: 21,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,516.92 : 37,974.24 = 15,580 : x
  2. Step 2: Convert to fraction form
    27,516.92/37,974.24 = 15,580/x
  3. Step 3: Cross multiply
    27,516.92x = 37,974.24 × 15,580
  4. Step 4: Simplify right side
    27,516.92x = 591,638,659.20
  5. Step 5: Solve for x
    x = 591,638,659.20/27,516.92
  6. Step 6: Final answer
    x = 21,500.90

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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.