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Finding the Fourth Proportional to 21,826.80, 32,740.94 and 6,033.02

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Solution

The fourth proportional to 21,826.80, 32,740.94 and 6,033.02 is: 9,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.80 : 32,740.94 = 6,033.02 : x
  2. Step 2: Convert to fraction form
    21,826.80/32,740.94 = 6,033.02/x
  3. Step 3: Cross multiply
    21,826.80x = 32,740.94 × 6,033.02
  4. Step 4: Simplify right side
    21,826.80x = 197,526,745.84
  5. Step 5: Solve for x
    x = 197,526,745.84/21,826.80
  6. Step 6: Final answer
    x = 9,049.73

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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.