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Finding the Fourth Proportional to 16,394.44, 22,625.38 and 9,321.64

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Solution

The fourth proportional to 16,394.44, 22,625.38 and 9,321.64 is: 12,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.44 : 22,625.38 = 9,321.64 : x
  2. Step 2: Convert to fraction form
    16,394.44/22,625.38 = 9,321.64/x
  3. Step 3: Cross multiply
    16,394.44x = 22,625.38 × 9,321.64
  4. Step 4: Simplify right side
    16,394.44x = 210,905,647.22
  5. Step 5: Solve for x
    x = 210,905,647.22/16,394.44
  6. Step 6: Final answer
    x = 12,864.46

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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.