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Finding the Fourth Proportional to 26,846, 37,047.98 and 14,910.44

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Solution

The fourth proportional to 26,846, 37,047.98 and 14,910.44 is: 20,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846 : 37,047.98 = 14,910.44 : x
  2. Step 2: Convert to fraction form
    26,846/37,047.98 = 14,910.44/x
  3. Step 3: Cross multiply
    26,846x = 37,047.98 × 14,910.44
  4. Step 4: Simplify right side
    26,846x = 552,401,682.91
  5. Step 5: Solve for x
    x = 552,401,682.91/26,846
  6. Step 6: Final answer
    x = 20,576.68

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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.