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Finding the Fourth Proportional to 24,776.38, 34,193.09 and 14,021.26

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Solution

The fourth proportional to 24,776.38, 34,193.09 and 14,021.26 is: 19,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.38 : 34,193.09 = 14,021.26 : x
  2. Step 2: Convert to fraction form
    24,776.38/34,193.09 = 14,021.26/x
  3. Step 3: Cross multiply
    24,776.38x = 34,193.09 × 14,021.26
  4. Step 4: Simplify right side
    24,776.38x = 479,430,049.50
  5. Step 5: Solve for x
    x = 479,430,049.50/24,776.38
  6. Step 6: Final answer
    x = 19,350.29

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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.