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Finding the Fourth Proportional to 20,508.50, 28,301.82 and 11,896.38

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Solution

The fourth proportional to 20,508.50, 28,301.82 and 11,896.38 is: 16,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.50 : 28,301.82 = 11,896.38 : x
  2. Step 2: Convert to fraction form
    20,508.50/28,301.82 = 11,896.38/x
  3. Step 3: Cross multiply
    20,508.50x = 28,301.82 × 11,896.38
  4. Step 4: Simplify right side
    20,508.50x = 336,689,205.41
  5. Step 5: Solve for x
    x = 336,689,205.41/20,508.50
  6. Step 6: Final answer
    x = 16,417.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.