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Finding the Fourth Proportional to 27,424.24, 41,143.80 and 8,956.24

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Solution

The fourth proportional to 27,424.24, 41,143.80 and 8,956.24 is: 13,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.24 : 41,143.80 = 8,956.24 : x
  2. Step 2: Convert to fraction form
    27,424.24/41,143.80 = 8,956.24/x
  3. Step 3: Cross multiply
    27,424.24x = 41,143.80 × 8,956.24
  4. Step 4: Simplify right side
    27,424.24x = 368,493,747.31
  5. Step 5: Solve for x
    x = 368,493,747.31/27,424.24
  6. Step 6: Final answer
    x = 13,436.79

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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.