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Finding the Fourth Proportional to 22,913.16, 31,622.39 and 12,843.30

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Solution

The fourth proportional to 22,913.16, 31,622.39 and 12,843.30 is: 17,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.16 : 31,622.39 = 12,843.30 : x
  2. Step 2: Convert to fraction form
    22,913.16/31,622.39 = 12,843.30/x
  3. Step 3: Cross multiply
    22,913.16x = 31,622.39 × 12,843.30
  4. Step 4: Simplify right side
    22,913.16x = 406,135,841.49
  5. Step 5: Solve for x
    x = 406,135,841.49/22,913.16
  6. Step 6: Final answer
    x = 17,725.00

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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.