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Finding the Fourth Proportional to 13,909.96, 19,197.56 and 7,940.28

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Solution

The fourth proportional to 13,909.96, 19,197.56 and 7,940.28 is: 10,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.96 : 19,197.56 = 7,940.28 : x
  2. Step 2: Convert to fraction form
    13,909.96/19,197.56 = 7,940.28/x
  3. Step 3: Cross multiply
    13,909.96x = 19,197.56 × 7,940.28
  4. Step 4: Simplify right side
    13,909.96x = 152,434,001.72
  5. Step 5: Solve for x
    x = 152,434,001.72/13,909.96
  6. Step 6: Final answer
    x = 10,958.62

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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.