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Finding the Fourth Proportional to 16,553.39, 22,843.28 and 9,382.77

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Solution

The fourth proportional to 16,553.39, 22,843.28 and 9,382.77 is: 12,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.39 : 22,843.28 = 9,382.77 : x
  2. Step 2: Convert to fraction form
    16,553.39/22,843.28 = 9,382.77/x
  3. Step 3: Cross multiply
    16,553.39x = 22,843.28 × 9,382.77
  4. Step 4: Simplify right side
    16,553.39x = 214,333,265.74
  5. Step 5: Solve for x
    x = 214,333,265.74/16,553.39
  6. Step 6: Final answer
    x = 12,948.00

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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.