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Finding the Fourth Proportional to 22,896.96, 31,596.27 and 12,823.08

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Solution

The fourth proportional to 22,896.96, 31,596.27 and 12,823.08 is: 17,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.96 : 31,596.27 = 12,823.08 : x
  2. Step 2: Convert to fraction form
    22,896.96/31,596.27 = 12,823.08/x
  3. Step 3: Cross multiply
    22,896.96x = 31,596.27 × 12,823.08
  4. Step 4: Simplify right side
    22,896.96x = 405,161,497.91
  5. Step 5: Solve for x
    x = 405,161,497.91/22,896.96
  6. Step 6: Final answer
    x = 17,694.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.