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Finding the Fourth Proportional to 17,222.10, 25,834.77 and 6,832.50

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Solution

The fourth proportional to 17,222.10, 25,834.77 and 6,832.50 is: 10,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.10 : 25,834.77 = 6,832.50 : x
  2. Step 2: Convert to fraction form
    17,222.10/25,834.77 = 6,832.50/x
  3. Step 3: Cross multiply
    17,222.10x = 25,834.77 × 6,832.50
  4. Step 4: Simplify right side
    17,222.10x = 176,516,066.03
  5. Step 5: Solve for x
    x = 176,516,066.03/17,222.10
  6. Step 6: Final answer
    x = 10,249.39

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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.