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Finding the Fourth Proportional to 27,896.32, 41,835.84 and 9,424

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Solution

The fourth proportional to 27,896.32, 41,835.84 and 9,424 is: 14,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.32 : 41,835.84 = 9,424 : x
  2. Step 2: Convert to fraction form
    27,896.32/41,835.84 = 9,424/x
  3. Step 3: Cross multiply
    27,896.32x = 41,835.84 × 9,424
  4. Step 4: Simplify right side
    27,896.32x = 394,260,956.16
  5. Step 5: Solve for x
    x = 394,260,956.16/27,896.32
  6. Step 6: Final answer
    x = 14,133.08

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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.