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Finding the Fourth Proportional to 13,630.72, 20,421.78 and 9,232.42

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Solution

The fourth proportional to 13,630.72, 20,421.78 and 9,232.42 is: 13,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.72 : 20,421.78 = 9,232.42 : x
  2. Step 2: Convert to fraction form
    13,630.72/20,421.78 = 9,232.42/x
  3. Step 3: Cross multiply
    13,630.72x = 20,421.78 × 9,232.42
  4. Step 4: Simplify right side
    13,630.72x = 188,542,450.11
  5. Step 5: Solve for x
    x = 188,542,450.11/13,630.72
  6. Step 6: Final answer
    x = 13,832.17

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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.