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Finding the Fourth Proportional to 27,195, 40,792.50 and 9,665.52

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Solution

The fourth proportional to 27,195, 40,792.50 and 9,665.52 is: 14,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195 : 40,792.50 = 9,665.52 : x
  2. Step 2: Convert to fraction form
    27,195/40,792.50 = 9,665.52/x
  3. Step 3: Cross multiply
    27,195x = 40,792.50 × 9,665.52
  4. Step 4: Simplify right side
    27,195x = 394,280,724.60
  5. Step 5: Solve for x
    x = 394,280,724.60/27,195
  6. Step 6: Final answer
    x = 14,498.28

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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.