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Finding the Fourth Proportional to 24,819.20, 37,233.60 and 7,289.60

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Solution

The fourth proportional to 24,819.20, 37,233.60 and 7,289.60 is: 10,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.20 : 37,233.60 = 7,289.60 : x
  2. Step 2: Convert to fraction form
    24,819.20/37,233.60 = 7,289.60/x
  3. Step 3: Cross multiply
    24,819.20x = 37,233.60 × 7,289.60
  4. Step 4: Simplify right side
    24,819.20x = 271,418,050.56
  5. Step 5: Solve for x
    x = 271,418,050.56/24,819.20
  6. Step 6: Final answer
    x = 10,935.81

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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.