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Finding the Fourth Proportional to 12,155.70, 16,770.26 and 7,677.75

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Solution

The fourth proportional to 12,155.70, 16,770.26 and 7,677.75 is: 10,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.70 : 16,770.26 = 7,677.75 : x
  2. Step 2: Convert to fraction form
    12,155.70/16,770.26 = 7,677.75/x
  3. Step 3: Cross multiply
    12,155.70x = 16,770.26 × 7,677.75
  4. Step 4: Simplify right side
    12,155.70x = 128,757,825.33
  5. Step 5: Solve for x
    x = 128,757,825.33/12,155.70
  6. Step 6: Final answer
    x = 10,592.38

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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.