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Finding the Fourth Proportional to 14,806.17, 20,431.90 and 8,092.02

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Solution

The fourth proportional to 14,806.17, 20,431.90 and 8,092.02 is: 11,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.17 : 20,431.90 = 8,092.02 : x
  2. Step 2: Convert to fraction form
    14,806.17/20,431.90 = 8,092.02/x
  3. Step 3: Cross multiply
    14,806.17x = 20,431.90 × 8,092.02
  4. Step 4: Simplify right side
    14,806.17x = 165,335,343.44
  5. Step 5: Solve for x
    x = 165,335,343.44/14,806.17
  6. Step 6: Final answer
    x = 11,166.65

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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.