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Finding the Fourth Proportional to 16,694.50, 23,039.17 and 9,242.50

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Solution

The fourth proportional to 16,694.50, 23,039.17 and 9,242.50 is: 12,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.50 : 23,039.17 = 9,242.50 : x
  2. Step 2: Convert to fraction form
    16,694.50/23,039.17 = 9,242.50/x
  3. Step 3: Cross multiply
    16,694.50x = 23,039.17 × 9,242.50
  4. Step 4: Simplify right side
    16,694.50x = 212,939,528.73
  5. Step 5: Solve for x
    x = 212,939,528.73/16,694.50
  6. Step 6: Final answer
    x = 12,755.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.