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Finding the Fourth Proportional to 16,481.16, 24,715.92 and 7,120.80

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Solution

The fourth proportional to 16,481.16, 24,715.92 and 7,120.80 is: 10,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.16 : 24,715.92 = 7,120.80 : x
  2. Step 2: Convert to fraction form
    16,481.16/24,715.92 = 7,120.80/x
  3. Step 3: Cross multiply
    16,481.16x = 24,715.92 × 7,120.80
  4. Step 4: Simplify right side
    16,481.16x = 175,997,123.14
  5. Step 5: Solve for x
    x = 175,997,123.14/16,481.16
  6. Step 6: Final answer
    x = 10,678.69

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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.