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Finding the Fourth Proportional to 17,121, 23,626.98 and 9,669

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Solution

The fourth proportional to 17,121, 23,626.98 and 9,669 is: 13,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121 : 23,626.98 = 9,669 : x
  2. Step 2: Convert to fraction form
    17,121/23,626.98 = 9,669/x
  3. Step 3: Cross multiply
    17,121x = 23,626.98 × 9,669
  4. Step 4: Simplify right side
    17,121x = 228,449,269.62
  5. Step 5: Solve for x
    x = 228,449,269.62/17,121
  6. Step 6: Final answer
    x = 13,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.