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Finding the Fourth Proportional to 21,230.52, 31,846.10 and 8,083.62

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Solution

The fourth proportional to 21,230.52, 31,846.10 and 8,083.62 is: 12,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.52 : 31,846.10 = 8,083.62 : x
  2. Step 2: Convert to fraction form
    21,230.52/31,846.10 = 8,083.62/x
  3. Step 3: Cross multiply
    21,230.52x = 31,846.10 × 8,083.62
  4. Step 4: Simplify right side
    21,230.52x = 257,431,730.46
  5. Step 5: Solve for x
    x = 257,431,730.46/21,230.52
  6. Step 6: Final answer
    x = 12,125.55

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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.