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Finding the Fourth Proportional to 16,517.44, 22,794.02 and 9,444

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Solution

The fourth proportional to 16,517.44, 22,794.02 and 9,444 is: 13,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.44 : 22,794.02 = 9,444 : x
  2. Step 2: Convert to fraction form
    16,517.44/22,794.02 = 9,444/x
  3. Step 3: Cross multiply
    16,517.44x = 22,794.02 × 9,444
  4. Step 4: Simplify right side
    16,517.44x = 215,266,724.88
  5. Step 5: Solve for x
    x = 215,266,724.88/16,517.44
  6. Step 6: Final answer
    x = 13,032.69

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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.