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Finding the Fourth Proportional to 16,500.48, 24,757.20 and 7,260

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Solution

The fourth proportional to 16,500.48, 24,757.20 and 7,260 is: 10,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.48 : 24,757.20 = 7,260 : x
  2. Step 2: Convert to fraction form
    16,500.48/24,757.20 = 7,260/x
  3. Step 3: Cross multiply
    16,500.48x = 24,757.20 × 7,260
  4. Step 4: Simplify right side
    16,500.48x = 179,737,272
  5. Step 5: Solve for x
    x = 179,737,272/16,500.48
  6. Step 6: Final answer
    x = 10,892.85

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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.