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Finding the Fourth Proportional to 14,716.50, 20,308.77 and 8,092.50

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Solution

The fourth proportional to 14,716.50, 20,308.77 and 8,092.50 is: 11,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.50 : 20,308.77 = 8,092.50 : x
  2. Step 2: Convert to fraction form
    14,716.50/20,308.77 = 8,092.50/x
  3. Step 3: Cross multiply
    14,716.50x = 20,308.77 × 8,092.50
  4. Step 4: Simplify right side
    14,716.50x = 164,348,721.23
  5. Step 5: Solve for x
    x = 164,348,721.23/14,716.50
  6. Step 6: Final answer
    x = 11,167.65

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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.