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Finding the Fourth Proportional to 22,878.97, 31,568.81 and 13,186.91

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Solution

The fourth proportional to 22,878.97, 31,568.81 and 13,186.91 is: 18,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.97 : 31,568.81 = 13,186.91 : x
  2. Step 2: Convert to fraction form
    22,878.97/31,568.81 = 13,186.91/x
  3. Step 3: Cross multiply
    22,878.97x = 31,568.81 × 13,186.91
  4. Step 4: Simplify right side
    22,878.97x = 416,295,069.26
  5. Step 5: Solve for x
    x = 416,295,069.26/22,878.97
  6. Step 6: Final answer
    x = 18,195.54

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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.