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Finding the Fourth Proportional to 21,144.98, 31,701.07 and 8,668.15

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Solution

The fourth proportional to 21,144.98, 31,701.07 and 8,668.15 is: 12,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.98 : 31,701.07 = 8,668.15 : x
  2. Step 2: Convert to fraction form
    21,144.98/31,701.07 = 8,668.15/x
  3. Step 3: Cross multiply
    21,144.98x = 31,701.07 × 8,668.15
  4. Step 4: Simplify right side
    21,144.98x = 274,789,561.50
  5. Step 5: Solve for x
    x = 274,789,561.50/21,144.98
  6. Step 6: Final answer
    x = 12,995.50

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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.