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Finding the Fourth Proportional to 16,508.92, 24,760.50 and 7,623.49

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Solution

The fourth proportional to 16,508.92, 24,760.50 and 7,623.49 is: 11,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.92 : 24,760.50 = 7,623.49 : x
  2. Step 2: Convert to fraction form
    16,508.92/24,760.50 = 7,623.49/x
  3. Step 3: Cross multiply
    16,508.92x = 24,760.50 × 7,623.49
  4. Step 4: Simplify right side
    16,508.92x = 188,761,362.24
  5. Step 5: Solve for x
    x = 188,761,362.24/16,508.92
  6. Step 6: Final answer
    x = 11,433.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.