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Finding the Fourth Proportional to 22,584.28, 31,169.86 and 12,893.76

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Solution

The fourth proportional to 22,584.28, 31,169.86 and 12,893.76 is: 17,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.28 : 31,169.86 = 12,893.76 : x
  2. Step 2: Convert to fraction form
    22,584.28/31,169.86 = 12,893.76/x
  3. Step 3: Cross multiply
    22,584.28x = 31,169.86 × 12,893.76
  4. Step 4: Simplify right side
    22,584.28x = 401,896,694.07
  5. Step 5: Solve for x
    x = 401,896,694.07/22,584.28
  6. Step 6: Final answer
    x = 17,795.42

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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.