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Finding the Fourth Proportional to 17,876.72, 26,823.96 and 8,022.96

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Solution

The fourth proportional to 17,876.72, 26,823.96 and 8,022.96 is: 12,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.72 : 26,823.96 = 8,022.96 : x
  2. Step 2: Convert to fraction form
    17,876.72/26,823.96 = 8,022.96/x
  3. Step 3: Cross multiply
    17,876.72x = 26,823.96 × 8,022.96
  4. Step 4: Simplify right side
    17,876.72x = 215,207,558.12
  5. Step 5: Solve for x
    x = 215,207,558.12/17,876.72
  6. Step 6: Final answer
    x = 12,038.43

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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.