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Finding the Fourth Proportional to 21,914.70, 32,886.61 and 8,063.70

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Solution

The fourth proportional to 21,914.70, 32,886.61 and 8,063.70 is: 12,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.70 : 32,886.61 = 8,063.70 : x
  2. Step 2: Convert to fraction form
    21,914.70/32,886.61 = 8,063.70/x
  3. Step 3: Cross multiply
    21,914.70x = 32,886.61 × 8,063.70
  4. Step 4: Simplify right side
    21,914.70x = 265,187,757.06
  5. Step 5: Solve for x
    x = 265,187,757.06/21,914.70
  6. Step 6: Final answer
    x = 12,100.91

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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.