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Finding the Fourth Proportional to 16,553.69, 22,844.09 and 9,101.69

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Solution

The fourth proportional to 16,553.69, 22,844.09 and 9,101.69 is: 12,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.69 : 22,844.09 = 9,101.69 : x
  2. Step 2: Convert to fraction form
    16,553.69/22,844.09 = 9,101.69/x
  3. Step 3: Cross multiply
    16,553.69x = 22,844.09 × 9,101.69
  4. Step 4: Simplify right side
    16,553.69x = 207,919,825.51
  5. Step 5: Solve for x
    x = 207,919,825.51/16,553.69
  6. Step 6: Final answer
    x = 12,560.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.