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Finding the Fourth Proportional to 26,404.70, 39,612.92 and 8,874

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Solution

The fourth proportional to 26,404.70, 39,612.92 and 8,874 is: 13,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,404.70 : 39,612.92 = 8,874 : x
  2. Step 2: Convert to fraction form
    26,404.70/39,612.92 = 8,874/x
  3. Step 3: Cross multiply
    26,404.70x = 39,612.92 × 8,874
  4. Step 4: Simplify right side
    26,404.70x = 351,525,007.71
  5. Step 5: Solve for x
    x = 351,525,007.71/26,404.70
  6. Step 6: Final answer
    x = 13,312.97

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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.