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Finding the Fourth Proportional to 21,230.90, 31,846.65 and 8,083.99

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Solution

The fourth proportional to 21,230.90, 31,846.65 and 8,083.99 is: 12,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.90 : 31,846.65 = 8,083.99 : x
  2. Step 2: Convert to fraction form
    21,230.90/31,846.65 = 8,083.99/x
  3. Step 3: Cross multiply
    21,230.90x = 31,846.65 × 8,083.99
  4. Step 4: Simplify right side
    21,230.90x = 257,448,000.13
  5. Step 5: Solve for x
    x = 257,448,000.13/21,230.90
  6. Step 6: Final answer
    x = 12,126.10

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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.