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Finding the Fourth Proportional to 17,379, 26,073.41 and 4,899.14

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Solution

The fourth proportional to 17,379, 26,073.41 and 4,899.14 is: 7,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379 : 26,073.41 = 4,899.14 : x
  2. Step 2: Convert to fraction form
    17,379/26,073.41 = 4,899.14/x
  3. Step 3: Cross multiply
    17,379x = 26,073.41 × 4,899.14
  4. Step 4: Simplify right side
    17,379x = 127,737,228.78
  5. Step 5: Solve for x
    x = 127,737,228.78/17,379
  6. Step 6: Final answer
    x = 7,350.09

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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.