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Finding the Fourth Proportional to 11,432.37, 17,149.22 and 4,412.42

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Solution

The fourth proportional to 11,432.37, 17,149.22 and 4,412.42 is: 6,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.37 : 17,149.22 = 4,412.42 : x
  2. Step 2: Convert to fraction form
    11,432.37/17,149.22 = 4,412.42/x
  3. Step 3: Cross multiply
    11,432.37x = 17,149.22 × 4,412.42
  4. Step 4: Simplify right side
    11,432.37x = 75,669,539.25
  5. Step 5: Solve for x
    x = 75,669,539.25/11,432.37
  6. Step 6: Final answer
    x = 6,618.88

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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.