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Finding the Fourth Proportional to 13,015.80, 17,961.42 and 7,350.78

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Solution

The fourth proportional to 13,015.80, 17,961.42 and 7,350.78 is: 10,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.80 : 17,961.42 = 7,350.78 : x
  2. Step 2: Convert to fraction form
    13,015.80/17,961.42 = 7,350.78/x
  3. Step 3: Cross multiply
    13,015.80x = 17,961.42 × 7,350.78
  4. Step 4: Simplify right side
    13,015.80x = 132,030,446.91
  5. Step 5: Solve for x
    x = 132,030,446.91/13,015.80
  6. Step 6: Final answer
    x = 10,143.86

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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.