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Finding the Fourth Proportional to 18,642, 27,966.84 and 7,698

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Solution

The fourth proportional to 18,642, 27,966.84 and 7,698 is: 11,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 27,966.84 = 7,698 : x
  2. Step 2: Convert to fraction form
    18,642/27,966.84 = 7,698/x
  3. Step 3: Cross multiply
    18,642x = 27,966.84 × 7,698
  4. Step 4: Simplify right side
    18,642x = 215,288,734.32
  5. Step 5: Solve for x
    x = 215,288,734.32/18,642
  6. Step 6: Final answer
    x = 11,548.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.