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Finding the Fourth Proportional to 14,766.54, 20,372.94 and 8,392.38

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Solution

The fourth proportional to 14,766.54, 20,372.94 and 8,392.38 is: 11,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.54 : 20,372.94 = 8,392.38 : x
  2. Step 2: Convert to fraction form
    14,766.54/20,372.94 = 8,392.38/x
  3. Step 3: Cross multiply
    14,766.54x = 20,372.94 × 8,392.38
  4. Step 4: Simplify right side
    14,766.54x = 170,977,454.20
  5. Step 5: Solve for x
    x = 170,977,454.20/14,766.54
  6. Step 6: Final answer
    x = 11,578.71

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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.