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Finding the Fourth Proportional to 13,967.20, 20,909.22 and 9,022.42

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Solution

The fourth proportional to 13,967.20, 20,909.22 and 9,022.42 is: 13,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.20 : 20,909.22 = 9,022.42 : x
  2. Step 2: Convert to fraction form
    13,967.20/20,909.22 = 9,022.42/x
  3. Step 3: Cross multiply
    13,967.20x = 20,909.22 × 9,022.42
  4. Step 4: Simplify right side
    13,967.20x = 188,651,764.71
  5. Step 5: Solve for x
    x = 188,651,764.71/13,967.20
  6. Step 6: Final answer
    x = 13,506.77

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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.