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Finding the Fourth Proportional to 16,644.63, 24,945.06 and 8,215.77

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Solution

The fourth proportional to 16,644.63, 24,945.06 and 8,215.77 is: 12,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.63 : 24,945.06 = 8,215.77 : x
  2. Step 2: Convert to fraction form
    16,644.63/24,945.06 = 8,215.77/x
  3. Step 3: Cross multiply
    16,644.63x = 24,945.06 × 8,215.77
  4. Step 4: Simplify right side
    16,644.63x = 204,942,750.87
  5. Step 5: Solve for x
    x = 204,942,750.87/16,644.63
  6. Step 6: Final answer
    x = 12,312.85

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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.