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Finding the Fourth Proportional to 13,813.50, 20,741.01 and 8,291.55

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Solution

The fourth proportional to 13,813.50, 20,741.01 and 8,291.55 is: 12,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.50 : 20,741.01 = 8,291.55 : x
  2. Step 2: Convert to fraction form
    13,813.50/20,741.01 = 8,291.55/x
  3. Step 3: Cross multiply
    13,813.50x = 20,741.01 × 8,291.55
  4. Step 4: Simplify right side
    13,813.50x = 171,975,121.47
  5. Step 5: Solve for x
    x = 171,975,121.47/13,813.50
  6. Step 6: Final answer
    x = 12,449.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.