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Finding the Fourth Proportional to 17,616, 24,310.08 and 10,168.32

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Solution

The fourth proportional to 17,616, 24,310.08 and 10,168.32 is: 14,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616 : 24,310.08 = 10,168.32 : x
  2. Step 2: Convert to fraction form
    17,616/24,310.08 = 10,168.32/x
  3. Step 3: Cross multiply
    17,616x = 24,310.08 × 10,168.32
  4. Step 4: Simplify right side
    17,616x = 247,192,672.67
  5. Step 5: Solve for x
    x = 247,192,672.67/17,616
  6. Step 6: Final answer
    x = 14,032.28

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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.