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Finding the Fourth Proportional to 16,553.24, 22,843.86 and 9,000

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Solution

The fourth proportional to 16,553.24, 22,843.86 and 9,000 is: 12,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.24 : 22,843.86 = 9,000 : x
  2. Step 2: Convert to fraction form
    16,553.24/22,843.86 = 9,000/x
  3. Step 3: Cross multiply
    16,553.24x = 22,843.86 × 9,000
  4. Step 4: Simplify right side
    16,553.24x = 205,594,740
  5. Step 5: Solve for x
    x = 205,594,740/16,553.24
  6. Step 6: Final answer
    x = 12,420.21

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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.