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Finding the Fourth Proportional to 17,174.86, 25,772.03 and 7,313.11

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Solution

The fourth proportional to 17,174.86, 25,772.03 and 7,313.11 is: 10,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.86 : 25,772.03 = 7,313.11 : x
  2. Step 2: Convert to fraction form
    17,174.86/25,772.03 = 7,313.11/x
  3. Step 3: Cross multiply
    17,174.86x = 25,772.03 × 7,313.11
  4. Step 4: Simplify right side
    17,174.86x = 188,473,524.89
  5. Step 5: Solve for x
    x = 188,473,524.89/17,174.86
  6. Step 6: Final answer
    x = 10,973.81

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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.