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Finding the Fourth Proportional to 27,876.32, 41,814.09 and 6,816.54

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Solution

The fourth proportional to 27,876.32, 41,814.09 and 6,816.54 is: 10,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.32 : 41,814.09 = 6,816.54 : x
  2. Step 2: Convert to fraction form
    27,876.32/41,814.09 = 6,816.54/x
  3. Step 3: Cross multiply
    27,876.32x = 41,814.09 × 6,816.54
  4. Step 4: Simplify right side
    27,876.32x = 285,027,417.05
  5. Step 5: Solve for x
    x = 285,027,417.05/27,876.32
  6. Step 6: Final answer
    x = 10,224.72

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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.