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Finding the Fourth Proportional to 26,176.92, 39,265.38 and 12,327

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Solution

The fourth proportional to 26,176.92, 39,265.38 and 12,327 is: 18,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176.92 : 39,265.38 = 12,327 : x
  2. Step 2: Convert to fraction form
    26,176.92/39,265.38 = 12,327/x
  3. Step 3: Cross multiply
    26,176.92x = 39,265.38 × 12,327
  4. Step 4: Simplify right side
    26,176.92x = 484,024,339.26
  5. Step 5: Solve for x
    x = 484,024,339.26/26,176.92
  6. Step 6: Final answer
    x = 18,490.50

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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.