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Finding the Fourth Proportional to 15,412.44, 23,099.94 and 6,524.34

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Solution

The fourth proportional to 15,412.44, 23,099.94 and 6,524.34 is: 9,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.44 : 23,099.94 = 6,524.34 : x
  2. Step 2: Convert to fraction form
    15,412.44/23,099.94 = 6,524.34/x
  3. Step 3: Cross multiply
    15,412.44x = 23,099.94 × 6,524.34
  4. Step 4: Simplify right side
    15,412.44x = 150,711,862.54
  5. Step 5: Solve for x
    x = 150,711,862.54/15,412.44
  6. Step 6: Final answer
    x = 9,778.59

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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.