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Finding the Fourth Proportional to 22,694.42, 31,305.52 and 13,617.43

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Solution

The fourth proportional to 22,694.42, 31,305.52 and 13,617.43 is: 18,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.42 : 31,305.52 = 13,617.43 : x
  2. Step 2: Convert to fraction form
    22,694.42/31,305.52 = 13,617.43/x
  3. Step 3: Cross multiply
    22,694.42x = 31,305.52 × 13,617.43
  4. Step 4: Simplify right side
    22,694.42x = 426,300,727.21
  5. Step 5: Solve for x
    x = 426,300,727.21/22,694.42
  6. Step 6: Final answer
    x = 18,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.