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Finding the Fourth Proportional to 13,630.31, 20,412.65 and 9,234.44

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Solution

The fourth proportional to 13,630.31, 20,412.65 and 9,234.44 is: 13,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.31 : 20,412.65 = 9,234.44 : x
  2. Step 2: Convert to fraction form
    13,630.31/20,412.65 = 9,234.44/x
  3. Step 3: Cross multiply
    13,630.31x = 20,412.65 × 9,234.44
  4. Step 4: Simplify right side
    13,630.31x = 188,499,278.06
  5. Step 5: Solve for x
    x = 188,499,278.06/13,630.31
  6. Step 6: Final answer
    x = 13,829.42

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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.