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Finding the Fourth Proportional to 14,677.75, 20,255.33 and 7,963.38

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Solution

The fourth proportional to 14,677.75, 20,255.33 and 7,963.38 is: 10,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.75 : 20,255.33 = 7,963.38 : x
  2. Step 2: Convert to fraction form
    14,677.75/20,255.33 = 7,963.38/x
  3. Step 3: Cross multiply
    14,677.75x = 20,255.33 × 7,963.38
  4. Step 4: Simplify right side
    14,677.75x = 161,300,788.54
  5. Step 5: Solve for x
    x = 161,300,788.54/14,677.75
  6. Step 6: Final answer
    x = 10,989.48

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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.