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Finding the Fourth Proportional to 17,172.86, 25,769.03 and 7,311.11

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Solution

The fourth proportional to 17,172.86, 25,769.03 and 7,311.11 is: 10,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172.86 : 25,769.03 = 7,311.11 : x
  2. Step 2: Convert to fraction form
    17,172.86/25,769.03 = 7,311.11/x
  3. Step 3: Cross multiply
    17,172.86x = 25,769.03 × 7,311.11
  4. Step 4: Simplify right side
    17,172.86x = 188,400,047.52
  5. Step 5: Solve for x
    x = 188,400,047.52/17,172.86
  6. Step 6: Final answer
    x = 10,970.81

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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.