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Finding the Fourth Proportional to 21,230.15, 31,845.53 and 8,083.24

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Solution

The fourth proportional to 21,230.15, 31,845.53 and 8,083.24 is: 12,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.15 : 31,845.53 = 8,083.24 : x
  2. Step 2: Convert to fraction form
    21,230.15/31,845.53 = 8,083.24/x
  3. Step 3: Cross multiply
    21,230.15x = 31,845.53 × 8,083.24
  4. Step 4: Simplify right side
    21,230.15x = 257,415,061.92
  5. Step 5: Solve for x
    x = 257,415,061.92/21,230.15
  6. Step 6: Final answer
    x = 12,124.98

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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.