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Finding the Fourth Proportional to 14,605.72, 21,910.80 and 5,371

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Solution

The fourth proportional to 14,605.72, 21,910.80 and 5,371 is: 8,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.72 : 21,910.80 = 5,371 : x
  2. Step 2: Convert to fraction form
    14,605.72/21,910.80 = 5,371/x
  3. Step 3: Cross multiply
    14,605.72x = 21,910.80 × 5,371
  4. Step 4: Simplify right side
    14,605.72x = 117,682,906.80
  5. Step 5: Solve for x
    x = 117,682,906.80/14,605.72
  6. Step 6: Final answer
    x = 8,057.32

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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.