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Finding the Fourth Proportional to 27,262.87, 40,894.32 and 8,544.37

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Solution

The fourth proportional to 27,262.87, 40,894.32 and 8,544.37 is: 12,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.87 : 40,894.32 = 8,544.37 : x
  2. Step 2: Convert to fraction form
    27,262.87/40,894.32 = 8,544.37/x
  3. Step 3: Cross multiply
    27,262.87x = 40,894.32 × 8,544.37
  4. Step 4: Simplify right side
    27,262.87x = 349,416,122.70
  5. Step 5: Solve for x
    x = 349,416,122.70/27,262.87
  6. Step 6: Final answer
    x = 12,816.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.