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Finding the Fourth Proportional to 16,485.75, 24,728.67 and 4,799.25

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Solution

The fourth proportional to 16,485.75, 24,728.67 and 4,799.25 is: 7,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.75 : 24,728.67 = 4,799.25 : x
  2. Step 2: Convert to fraction form
    16,485.75/24,728.67 = 4,799.25/x
  3. Step 3: Cross multiply
    16,485.75x = 24,728.67 × 4,799.25
  4. Step 4: Simplify right side
    16,485.75x = 118,679,069.50
  5. Step 5: Solve for x
    x = 118,679,069.50/16,485.75
  6. Step 6: Final answer
    x = 7,198.89

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Why These Related Problems?

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