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Finding the Fourth Proportional to 14,806.70, 20,433.20 and 8,092.38

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Solution

The fourth proportional to 14,806.70, 20,433.20 and 8,092.38 is: 11,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.70 : 20,433.20 = 8,092.38 : x
  2. Step 2: Convert to fraction form
    14,806.70/20,433.20 = 8,092.38/x
  3. Step 3: Cross multiply
    14,806.70x = 20,433.20 × 8,092.38
  4. Step 4: Simplify right side
    14,806.70x = 165,353,219.02
  5. Step 5: Solve for x
    x = 165,353,219.02/14,806.70
  6. Step 6: Final answer
    x = 11,167.46

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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.