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Finding the Fourth Proportional to 21,450.44, 32,175.66 and 12,197

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Solution

The fourth proportional to 21,450.44, 32,175.66 and 12,197 is: 18,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450.44 : 32,175.66 = 12,197 : x
  2. Step 2: Convert to fraction form
    21,450.44/32,175.66 = 12,197/x
  3. Step 3: Cross multiply
    21,450.44x = 32,175.66 × 12,197
  4. Step 4: Simplify right side
    21,450.44x = 392,446,525.02
  5. Step 5: Solve for x
    x = 392,446,525.02/21,450.44
  6. Step 6: Final answer
    x = 18,295.50

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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.