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Finding the Fourth Proportional to 26,830.92, 37,028.70 and 14,896.56

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Solution

The fourth proportional to 26,830.92, 37,028.70 and 14,896.56 is: 20,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.92 : 37,028.70 = 14,896.56 : x
  2. Step 2: Convert to fraction form
    26,830.92/37,028.70 = 14,896.56/x
  3. Step 3: Cross multiply
    26,830.92x = 37,028.70 × 14,896.56
  4. Step 4: Simplify right side
    26,830.92x = 551,600,251.27
  5. Step 5: Solve for x
    x = 551,600,251.27/26,830.92
  6. Step 6: Final answer
    x = 20,558.38

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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.