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Finding the Fourth Proportional to 21,277.68, 31,912.64 and 10,745.22

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Solution

The fourth proportional to 21,277.68, 31,912.64 and 10,745.22 is: 16,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.68 : 31,912.64 = 10,745.22 : x
  2. Step 2: Convert to fraction form
    21,277.68/31,912.64 = 10,745.22/x
  3. Step 3: Cross multiply
    21,277.68x = 31,912.64 × 10,745.22
  4. Step 4: Simplify right side
    21,277.68x = 342,908,337.58
  5. Step 5: Solve for x
    x = 342,908,337.58/21,277.68
  6. Step 6: Final answer
    x = 16,115.87

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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.