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Finding the Fourth Proportional to 23,166, 34,754.81 and 10,694.75

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Solution

The fourth proportional to 23,166, 34,754.81 and 10,694.75 is: 16,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 34,754.81 = 10,694.75 : x
  2. Step 2: Convert to fraction form
    23,166/34,754.81 = 10,694.75/x
  3. Step 3: Cross multiply
    23,166x = 34,754.81 × 10,694.75
  4. Step 4: Simplify right side
    23,166x = 371,693,777.00
  5. Step 5: Solve for x
    x = 371,693,777.00/23,166
  6. Step 6: Final answer
    x = 16,044.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.