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Finding the Fourth Proportional to 13,195.64, 19,793.76 and 4,761.80

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Solution

The fourth proportional to 13,195.64, 19,793.76 and 4,761.80 is: 7,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.64 : 19,793.76 = 4,761.80 : x
  2. Step 2: Convert to fraction form
    13,195.64/19,793.76 = 4,761.80/x
  3. Step 3: Cross multiply
    13,195.64x = 19,793.76 × 4,761.80
  4. Step 4: Simplify right side
    13,195.64x = 94,253,926.37
  5. Step 5: Solve for x
    x = 94,253,926.37/13,195.64
  6. Step 6: Final answer
    x = 7,142.81

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