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Finding the Fourth Proportional to 16,553.09, 22,846.58 and 9,837.42

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Solution

The fourth proportional to 16,553.09, 22,846.58 and 9,837.42 is: 13,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.09 : 22,846.58 = 9,837.42 : x
  2. Step 2: Convert to fraction form
    16,553.09/22,846.58 = 9,837.42/x
  3. Step 3: Cross multiply
    16,553.09x = 22,846.58 × 9,837.42
  4. Step 4: Simplify right side
    16,553.09x = 224,751,403.02
  5. Step 5: Solve for x
    x = 224,751,403.02/16,553.09
  6. Step 6: Final answer
    x = 13,577.61

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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.