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Finding the Fourth Proportional to 16,546.12, 22,832.10 and 9,829.96

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Solution

The fourth proportional to 16,546.12, 22,832.10 and 9,829.96 is: 13,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.12 : 22,832.10 = 9,829.96 : x
  2. Step 2: Convert to fraction form
    16,546.12/22,832.10 = 9,829.96/x
  3. Step 3: Cross multiply
    16,546.12x = 22,832.10 × 9,829.96
  4. Step 4: Simplify right side
    16,546.12x = 224,438,629.72
  5. Step 5: Solve for x
    x = 224,438,629.72/16,546.12
  6. Step 6: Final answer
    x = 13,564.43

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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.