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Finding the Fourth Proportional to 13,911.25, 20,880.55 and 10,202.92

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Solution

The fourth proportional to 13,911.25, 20,880.55 and 10,202.92 is: 15,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.25 : 20,880.55 = 10,202.92 : x
  2. Step 2: Convert to fraction form
    13,911.25/20,880.55 = 10,202.92/x
  3. Step 3: Cross multiply
    13,911.25x = 20,880.55 × 10,202.92
  4. Step 4: Simplify right side
    13,911.25x = 213,042,530.19
  5. Step 5: Solve for x
    x = 213,042,530.19/13,911.25
  6. Step 6: Final answer
    x = 15,314.41

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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.