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Finding the Fourth Proportional to 13,076.20, 18,049.78 and 7,770.95

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Solution

The fourth proportional to 13,076.20, 18,049.78 and 7,770.95 is: 10,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.20 : 18,049.78 = 7,770.95 : x
  2. Step 2: Convert to fraction form
    13,076.20/18,049.78 = 7,770.95/x
  3. Step 3: Cross multiply
    13,076.20x = 18,049.78 × 7,770.95
  4. Step 4: Simplify right side
    13,076.20x = 140,263,963.59
  5. Step 5: Solve for x
    x = 140,263,963.59/13,076.20
  6. Step 6: Final answer
    x = 10,726.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.