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Finding the Fourth Proportional to 21,745.92, 32,622.56 and 6,954.88

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Solution

The fourth proportional to 21,745.92, 32,622.56 and 6,954.88 is: 10,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.92 : 32,622.56 = 6,954.88 : x
  2. Step 2: Convert to fraction form
    21,745.92/32,622.56 = 6,954.88/x
  3. Step 3: Cross multiply
    21,745.92x = 32,622.56 × 6,954.88
  4. Step 4: Simplify right side
    21,745.92x = 226,885,990.09
  5. Step 5: Solve for x
    x = 226,885,990.09/21,745.92
  6. Step 6: Final answer
    x = 10,433.50

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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.