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Finding the Fourth Proportional to 22,242, 30,694.44 and 12,809.04

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Solution

The fourth proportional to 22,242, 30,694.44 and 12,809.04 is: 17,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242 : 30,694.44 = 12,809.04 : x
  2. Step 2: Convert to fraction form
    22,242/30,694.44 = 12,809.04/x
  3. Step 3: Cross multiply
    22,242x = 30,694.44 × 12,809.04
  4. Step 4: Simplify right side
    22,242x = 393,166,309.74
  5. Step 5: Solve for x
    x = 393,166,309.74/22,242
  6. Step 6: Final answer
    x = 17,676.75

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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.