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Finding the Fourth Proportional to 16,546.68, 22,836.33 and 9,832.35

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Solution

The fourth proportional to 16,546.68, 22,836.33 and 9,832.35 is: 13,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.68 : 22,836.33 = 9,832.35 : x
  2. Step 2: Convert to fraction form
    16,546.68/22,836.33 = 9,832.35/x
  3. Step 3: Cross multiply
    16,546.68x = 22,836.33 × 9,832.35
  4. Step 4: Simplify right side
    16,546.68x = 224,534,789.28
  5. Step 5: Solve for x
    x = 224,534,789.28/16,546.68
  6. Step 6: Final answer
    x = 13,569.78

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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.