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Finding the Fourth Proportional to 16,292.36, 22,481.94 and 9,219.32

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Solution

The fourth proportional to 16,292.36, 22,481.94 and 9,219.32 is: 12,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.36 : 22,481.94 = 9,219.32 : x
  2. Step 2: Convert to fraction form
    16,292.36/22,481.94 = 9,219.32/x
  3. Step 3: Cross multiply
    16,292.36x = 22,481.94 × 9,219.32
  4. Step 4: Simplify right side
    16,292.36x = 207,268,199.08
  5. Step 5: Solve for x
    x = 207,268,199.08/16,292.36
  6. Step 6: Final answer
    x = 12,721.80

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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.