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Finding the Fourth Proportional to 21,230.77, 31,846.47 and 8,083.87

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Solution

The fourth proportional to 21,230.77, 31,846.47 and 8,083.87 is: 12,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.77 : 31,846.47 = 8,083.87 : x
  2. Step 2: Convert to fraction form
    21,230.77/31,846.47 = 8,083.87/x
  3. Step 3: Cross multiply
    21,230.77x = 31,846.47 × 8,083.87
  4. Step 4: Simplify right side
    21,230.77x = 257,442,723.44
  5. Step 5: Solve for x
    x = 257,442,723.44/21,230.77
  6. Step 6: Final answer
    x = 12,125.92

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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.