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Finding the Fourth Proportional to 27,559.14, 41,333.09 and 7,832.40

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Solution

The fourth proportional to 27,559.14, 41,333.09 and 7,832.40 is: 11,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.14 : 41,333.09 = 7,832.40 : x
  2. Step 2: Convert to fraction form
    27,559.14/41,333.09 = 7,832.40/x
  3. Step 3: Cross multiply
    27,559.14x = 41,333.09 × 7,832.40
  4. Step 4: Simplify right side
    27,559.14x = 323,737,099.95
  5. Step 5: Solve for x
    x = 323,737,099.95/27,559.14
  6. Step 6: Final answer
    x = 11,747.00

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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.