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Finding the Fourth Proportional to 20,826.70, 31,189.98 and 11,915.02

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Solution

The fourth proportional to 20,826.70, 31,189.98 and 11,915.02 is: 17,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.70 : 31,189.98 = 11,915.02 : x
  2. Step 2: Convert to fraction form
    20,826.70/31,189.98 = 11,915.02/x
  3. Step 3: Cross multiply
    20,826.70x = 31,189.98 × 11,915.02
  4. Step 4: Simplify right side
    20,826.70x = 371,629,235.50
  5. Step 5: Solve for x
    x = 371,629,235.50/20,826.70
  6. Step 6: Final answer
    x = 17,843.88

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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.