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Finding the Fourth Proportional to 27,935.98, 41,904.72 and 8,215.16

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Solution

The fourth proportional to 27,935.98, 41,904.72 and 8,215.16 is: 12,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,935.98 : 41,904.72 = 8,215.16 : x
  2. Step 2: Convert to fraction form
    27,935.98/41,904.72 = 8,215.16/x
  3. Step 3: Cross multiply
    27,935.98x = 41,904.72 × 8,215.16
  4. Step 4: Simplify right side
    27,935.98x = 344,253,979.56
  5. Step 5: Solve for x
    x = 344,253,979.56/27,935.98
  6. Step 6: Final answer
    x = 12,322.96

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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.