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Finding the Fourth Proportional to 17,211.14, 25,816.74 and 6,117.81

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Solution

The fourth proportional to 17,211.14, 25,816.74 and 6,117.81 is: 9,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.14 : 25,816.74 = 6,117.81 : x
  2. Step 2: Convert to fraction form
    17,211.14/25,816.74 = 6,117.81/x
  3. Step 3: Cross multiply
    17,211.14x = 25,816.74 × 6,117.81
  4. Step 4: Simplify right side
    17,211.14x = 157,941,910.14
  5. Step 5: Solve for x
    x = 157,941,910.14/17,211.14
  6. Step 6: Final answer
    x = 9,176.73

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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.