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Finding the Fourth Proportional to 16,546.38, 24,822 and 4,858.08

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Solution

The fourth proportional to 16,546.38, 24,822 and 4,858.08 is: 7,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.38 : 24,822 = 4,858.08 : x
  2. Step 2: Convert to fraction form
    16,546.38/24,822 = 4,858.08/x
  3. Step 3: Cross multiply
    16,546.38x = 24,822 × 4,858.08
  4. Step 4: Simplify right side
    16,546.38x = 120,587,261.76
  5. Step 5: Solve for x
    x = 120,587,261.76/16,546.38
  6. Step 6: Final answer
    x = 7,287.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.