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Finding the Fourth Proportional to 25,099.68, 37,649.76 and 20,414.24

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Solution

The fourth proportional to 25,099.68, 37,649.76 and 20,414.24 is: 30,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099.68 : 37,649.76 = 20,414.24 : x
  2. Step 2: Convert to fraction form
    25,099.68/37,649.76 = 20,414.24/x
  3. Step 3: Cross multiply
    25,099.68x = 37,649.76 × 20,414.24
  4. Step 4: Simplify right side
    25,099.68x = 768,591,236.58
  5. Step 5: Solve for x
    x = 768,591,236.58/25,099.68
  6. Step 6: Final answer
    x = 30,621.56

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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.