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Finding the Fourth Proportional to 22,896.08, 31,592.94 and 12,824.96

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Solution

The fourth proportional to 22,896.08, 31,592.94 and 12,824.96 is: 17,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.08 : 31,592.94 = 12,824.96 : x
  2. Step 2: Convert to fraction form
    22,896.08/31,592.94 = 12,824.96/x
  3. Step 3: Cross multiply
    22,896.08x = 31,592.94 × 12,824.96
  4. Step 4: Simplify right side
    22,896.08x = 405,178,191.78
  5. Step 5: Solve for x
    x = 405,178,191.78/22,896.08
  6. Step 6: Final answer
    x = 17,696.40

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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.