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Finding the Fourth Proportional to 17,878.72, 26,826.96 and 8,024.96

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Solution

The fourth proportional to 17,878.72, 26,826.96 and 8,024.96 is: 12,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.72 : 26,826.96 = 8,024.96 : x
  2. Step 2: Convert to fraction form
    17,878.72/26,826.96 = 8,024.96/x
  3. Step 3: Cross multiply
    17,878.72x = 26,826.96 × 8,024.96
  4. Step 4: Simplify right side
    17,878.72x = 215,285,280.92
  5. Step 5: Solve for x
    x = 215,285,280.92/17,878.72
  6. Step 6: Final answer
    x = 12,041.43

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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.