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Finding the Fourth Proportional to 14,625.97, 21,934.77 and 4,766.11

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Solution

The fourth proportional to 14,625.97, 21,934.77 and 4,766.11 is: 7,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.97 : 21,934.77 = 4,766.11 : x
  2. Step 2: Convert to fraction form
    14,625.97/21,934.77 = 4,766.11/x
  3. Step 3: Cross multiply
    14,625.97x = 21,934.77 × 4,766.11
  4. Step 4: Simplify right side
    14,625.97x = 104,543,453.93
  5. Step 5: Solve for x
    x = 104,543,453.93/14,625.97
  6. Step 6: Final answer
    x = 7,147.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.