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Finding the Fourth Proportional to 21,162.50, 31,754.15 and 8,511.74

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Solution

The fourth proportional to 21,162.50, 31,754.15 and 8,511.74 is: 12,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.50 : 31,754.15 = 8,511.74 : x
  2. Step 2: Convert to fraction form
    21,162.50/31,754.15 = 8,511.74/x
  3. Step 3: Cross multiply
    21,162.50x = 31,754.15 × 8,511.74
  4. Step 4: Simplify right side
    21,162.50x = 270,283,105.55
  5. Step 5: Solve for x
    x = 270,283,105.55/21,162.50
  6. Step 6: Final answer
    x = 12,771.80

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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.