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Finding the Fourth Proportional to 24,815.20, 37,227.60 and 7,285.60

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Solution

The fourth proportional to 24,815.20, 37,227.60 and 7,285.60 is: 10,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.20 : 37,227.60 = 7,285.60 : x
  2. Step 2: Convert to fraction form
    24,815.20/37,227.60 = 7,285.60/x
  3. Step 3: Cross multiply
    24,815.20x = 37,227.60 × 7,285.60
  4. Step 4: Simplify right side
    24,815.20x = 271,225,402.56
  5. Step 5: Solve for x
    x = 271,225,402.56/24,815.20
  6. Step 6: Final answer
    x = 10,929.81

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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.