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Finding the Fourth Proportional to 21,294.91, 31,943.91 and 8,638.59

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Solution

The fourth proportional to 21,294.91, 31,943.91 and 8,638.59 is: 12,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.91 : 31,943.91 = 8,638.59 : x
  2. Step 2: Convert to fraction form
    21,294.91/31,943.91 = 8,638.59/x
  3. Step 3: Cross multiply
    21,294.91x = 31,943.91 × 8,638.59
  4. Step 4: Simplify right side
    21,294.91x = 275,950,493.67
  5. Step 5: Solve for x
    x = 275,950,493.67/21,294.91
  6. Step 6: Final answer
    x = 12,958.52

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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.