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Finding the Fourth Proportional to 17,094.78, 25,650.81 and 6,706.62

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Solution

The fourth proportional to 17,094.78, 25,650.81 and 6,706.62 is: 10,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.78 : 25,650.81 = 6,706.62 : x
  2. Step 2: Convert to fraction form
    17,094.78/25,650.81 = 6,706.62/x
  3. Step 3: Cross multiply
    17,094.78x = 25,650.81 × 6,706.62
  4. Step 4: Simplify right side
    17,094.78x = 172,030,235.36
  5. Step 5: Solve for x
    x = 172,030,235.36/17,094.78
  6. Step 6: Final answer
    x = 10,063.32

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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.