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Finding the Fourth Proportional to 16,553, 22,843.20 and 9,101

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Solution

The fourth proportional to 16,553, 22,843.20 and 9,101 is: 12,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553 : 22,843.20 = 9,101 : x
  2. Step 2: Convert to fraction form
    16,553/22,843.20 = 9,101/x
  3. Step 3: Cross multiply
    16,553x = 22,843.20 × 9,101
  4. Step 4: Simplify right side
    16,553x = 207,895,963.20
  5. Step 5: Solve for x
    x = 207,895,963.20/16,553
  6. Step 6: Final answer
    x = 12,559.41

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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.