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Finding the Fourth Proportional to 21,794, 32,695.86 and 7,943

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Solution

The fourth proportional to 21,794, 32,695.86 and 7,943 is: 11,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794 : 32,695.86 = 7,943 : x
  2. Step 2: Convert to fraction form
    21,794/32,695.86 = 7,943/x
  3. Step 3: Cross multiply
    21,794x = 32,695.86 × 7,943
  4. Step 4: Simplify right side
    21,794x = 259,703,215.98
  5. Step 5: Solve for x
    x = 259,703,215.98/21,794
  6. Step 6: Final answer
    x = 11,916.27

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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.