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Finding the Fourth Proportional to 26,696.92, 40,044.87 and 7,977.01

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Solution

The fourth proportional to 26,696.92, 40,044.87 and 7,977.01 is: 11,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696.92 : 40,044.87 = 7,977.01 : x
  2. Step 2: Convert to fraction form
    26,696.92/40,044.87 = 7,977.01/x
  3. Step 3: Cross multiply
    26,696.92x = 40,044.87 × 7,977.01
  4. Step 4: Simplify right side
    26,696.92x = 319,438,328.44
  5. Step 5: Solve for x
    x = 319,438,328.44/26,696.92
  6. Step 6: Final answer
    x = 11,965.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.