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Finding the Fourth Proportional to 17,096.78, 25,636.05 and 7,224.90

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Solution

The fourth proportional to 17,096.78, 25,636.05 and 7,224.90 is: 10,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.78 : 25,636.05 = 7,224.90 : x
  2. Step 2: Convert to fraction form
    17,096.78/25,636.05 = 7,224.90/x
  3. Step 3: Cross multiply
    17,096.78x = 25,636.05 × 7,224.90
  4. Step 4: Simplify right side
    17,096.78x = 185,217,897.65
  5. Step 5: Solve for x
    x = 185,217,897.65/17,096.78
  6. Step 6: Final answer
    x = 10,833.50

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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.