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Finding the Fourth Proportional to 13,909.84, 19,197.42 and 7,940.14

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Solution

The fourth proportional to 13,909.84, 19,197.42 and 7,940.14 is: 10,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.84 : 19,197.42 = 7,940.14 : x
  2. Step 2: Convert to fraction form
    13,909.84/19,197.42 = 7,940.14/x
  3. Step 3: Cross multiply
    13,909.84x = 19,197.42 × 7,940.14
  4. Step 4: Simplify right side
    13,909.84x = 152,430,202.44
  5. Step 5: Solve for x
    x = 152,430,202.44/13,909.84
  6. Step 6: Final answer
    x = 10,958.44

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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.