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Finding the Fourth Proportional to 26,673, 36,808.74 and 14,897

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Solution

The fourth proportional to 26,673, 36,808.74 and 14,897 is: 20,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,673 : 36,808.74 = 14,897 : x
  2. Step 2: Convert to fraction form
    26,673/36,808.74 = 14,897/x
  3. Step 3: Cross multiply
    26,673x = 36,808.74 × 14,897
  4. Step 4: Simplify right side
    26,673x = 548,339,799.78
  5. Step 5: Solve for x
    x = 548,339,799.78/26,673
  6. Step 6: Final answer
    x = 20,557.86

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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.