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Finding the Fourth Proportional to 16,843.68, 25,267.84 and 5,747.40

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Solution

The fourth proportional to 16,843.68, 25,267.84 and 5,747.40 is: 8,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.68 : 25,267.84 = 5,747.40 : x
  2. Step 2: Convert to fraction form
    16,843.68/25,267.84 = 5,747.40/x
  3. Step 3: Cross multiply
    16,843.68x = 25,267.84 × 5,747.40
  4. Step 4: Simplify right side
    16,843.68x = 145,224,369.25
  5. Step 5: Solve for x
    x = 145,224,369.25/16,843.68
  6. Step 6: Final answer
    x = 8,621.89

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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.