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Finding the Fourth Proportional to 13,909, 19,194.42 and 7,621.52

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Solution

The fourth proportional to 13,909, 19,194.42 and 7,621.52 is: 10,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909 : 19,194.42 = 7,621.52 : x
  2. Step 2: Convert to fraction form
    13,909/19,194.42 = 7,621.52/x
  3. Step 3: Cross multiply
    13,909x = 19,194.42 × 7,621.52
  4. Step 4: Simplify right side
    13,909x = 146,290,655.92
  5. Step 5: Solve for x
    x = 146,290,655.92/13,909
  6. Step 6: Final answer
    x = 10,517.70

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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.