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Finding the Fourth Proportional to 13,596.67, 20,390.68 and 9,242.11

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Solution

The fourth proportional to 13,596.67, 20,390.68 and 9,242.11 is: 13,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.67 : 20,390.68 = 9,242.11 : x
  2. Step 2: Convert to fraction form
    13,596.67/20,390.68 = 9,242.11/x
  3. Step 3: Cross multiply
    13,596.67x = 20,390.68 × 9,242.11
  4. Step 4: Simplify right side
    13,596.67x = 188,452,759.37
  5. Step 5: Solve for x
    x = 188,452,759.37/13,596.67
  6. Step 6: Final answer
    x = 13,860.22

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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.