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Finding the Fourth Proportional to 20,806.92, 28,714.23 and 11,854.80

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Solution

The fourth proportional to 20,806.92, 28,714.23 and 11,854.80 is: 16,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.92 : 28,714.23 = 11,854.80 : x
  2. Step 2: Convert to fraction form
    20,806.92/28,714.23 = 11,854.80/x
  3. Step 3: Cross multiply
    20,806.92x = 28,714.23 × 11,854.80
  4. Step 4: Simplify right side
    20,806.92x = 340,401,453.80
  5. Step 5: Solve for x
    x = 340,401,453.80/20,806.92
  6. Step 6: Final answer
    x = 16,360.01

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