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Finding the Fourth Proportional to 16,104.32, 22,213.72 and 11,634.63

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Solution

The fourth proportional to 16,104.32, 22,213.72 and 11,634.63 is: 16,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.32 : 22,213.72 = 11,634.63 : x
  2. Step 2: Convert to fraction form
    16,104.32/22,213.72 = 11,634.63/x
  3. Step 3: Cross multiply
    16,104.32x = 22,213.72 × 11,634.63
  4. Step 4: Simplify right side
    16,104.32x = 258,448,413.12
  5. Step 5: Solve for x
    x = 258,448,413.12/16,104.32
  6. Step 6: Final answer
    x = 16,048.39

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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.