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Finding the Fourth Proportional to 21,745.83, 32,616.69 and 6,950.78

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Solution

The fourth proportional to 21,745.83, 32,616.69 and 6,950.78 is: 10,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.83 : 32,616.69 = 6,950.78 : x
  2. Step 2: Convert to fraction form
    21,745.83/32,616.69 = 6,950.78/x
  3. Step 3: Cross multiply
    21,745.83x = 32,616.69 × 6,950.78
  4. Step 4: Simplify right side
    21,745.83x = 226,711,436.52
  5. Step 5: Solve for x
    x = 226,711,436.52/21,745.83
  6. Step 6: Final answer
    x = 10,425.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.