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Finding the Fourth Proportional to 16,694.22, 25,047.81 and 6,838.14

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Solution

The fourth proportional to 16,694.22, 25,047.81 and 6,838.14 is: 10,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.22 : 25,047.81 = 6,838.14 : x
  2. Step 2: Convert to fraction form
    16,694.22/25,047.81 = 6,838.14/x
  3. Step 3: Cross multiply
    16,694.22x = 25,047.81 × 6,838.14
  4. Step 4: Simplify right side
    16,694.22x = 171,280,431.47
  5. Step 5: Solve for x
    x = 171,280,431.47/16,694.22
  6. Step 6: Final answer
    x = 10,259.86

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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.