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Finding the Fourth Proportional to 21,853.20, 30,149.64 and 12,896.22

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Solution

The fourth proportional to 21,853.20, 30,149.64 and 12,896.22 is: 17,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.20 : 30,149.64 = 12,896.22 : x
  2. Step 2: Convert to fraction form
    21,853.20/30,149.64 = 12,896.22/x
  3. Step 3: Cross multiply
    21,853.20x = 30,149.64 × 12,896.22
  4. Step 4: Simplify right side
    21,853.20x = 388,816,390.36
  5. Step 5: Solve for x
    x = 388,816,390.36/21,853.20
  6. Step 6: Final answer
    x = 17,792.19

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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.