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Finding the Fourth Proportional to 26,552.48, 39,834.48 and 8,084

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Solution

The fourth proportional to 26,552.48, 39,834.48 and 8,084 is: 12,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,552.48 : 39,834.48 = 8,084 : x
  2. Step 2: Convert to fraction form
    26,552.48/39,834.48 = 8,084/x
  3. Step 3: Cross multiply
    26,552.48x = 39,834.48 × 8,084
  4. Step 4: Simplify right side
    26,552.48x = 322,021,936.32
  5. Step 5: Solve for x
    x = 322,021,936.32/26,552.48
  6. Step 6: Final answer
    x = 12,127.75

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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.