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Finding the Fourth Proportional to 13,961.40, 20,942.10 and 7,740.60

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Solution

The fourth proportional to 13,961.40, 20,942.10 and 7,740.60 is: 11,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.40 : 20,942.10 = 7,740.60 : x
  2. Step 2: Convert to fraction form
    13,961.40/20,942.10 = 7,740.60/x
  3. Step 3: Cross multiply
    13,961.40x = 20,942.10 × 7,740.60
  4. Step 4: Simplify right side
    13,961.40x = 162,104,419.26
  5. Step 5: Solve for x
    x = 162,104,419.26/13,961.40
  6. Step 6: Final answer
    x = 11,610.90

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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.