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Finding the Fourth Proportional to 16,204.14, 22,365.87 and 10,552.97

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Solution

The fourth proportional to 16,204.14, 22,365.87 and 10,552.97 is: 14,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.14 : 22,365.87 = 10,552.97 : x
  2. Step 2: Convert to fraction form
    16,204.14/22,365.87 = 10,552.97/x
  3. Step 3: Cross multiply
    16,204.14x = 22,365.87 × 10,552.97
  4. Step 4: Simplify right side
    16,204.14x = 236,026,243.30
  5. Step 5: Solve for x
    x = 236,026,243.30/16,204.14
  6. Step 6: Final answer
    x = 14,565.80

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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.