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Finding the Fourth Proportional to 18,294.25, 27,445.53 and 7,764.66

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Solution

The fourth proportional to 18,294.25, 27,445.53 and 7,764.66 is: 11,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.25 : 27,445.53 = 7,764.66 : x
  2. Step 2: Convert to fraction form
    18,294.25/27,445.53 = 7,764.66/x
  3. Step 3: Cross multiply
    18,294.25x = 27,445.53 × 7,764.66
  4. Step 4: Simplify right side
    18,294.25x = 213,105,208.97
  5. Step 5: Solve for x
    x = 213,105,208.97/18,294.25
  6. Step 6: Final answer
    x = 11,648.75

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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.