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Finding the Fourth Proportional to 26,231, 36,198.72 and 14,294.44

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Solution

The fourth proportional to 26,231, 36,198.72 and 14,294.44 is: 19,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231 : 36,198.72 = 14,294.44 : x
  2. Step 2: Convert to fraction form
    26,231/36,198.72 = 14,294.44/x
  3. Step 3: Cross multiply
    26,231x = 36,198.72 × 14,294.44
  4. Step 4: Simplify right side
    26,231x = 517,440,431.12
  5. Step 5: Solve for x
    x = 517,440,431.12/26,231
  6. Step 6: Final answer
    x = 19,726.29

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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.