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Finding the Fourth Proportional to 19,842.75, 29,768.04 and 6,698.88

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Solution

The fourth proportional to 19,842.75, 29,768.04 and 6,698.88 is: 10,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.75 : 29,768.04 = 6,698.88 : x
  2. Step 2: Convert to fraction form
    19,842.75/29,768.04 = 6,698.88/x
  3. Step 3: Cross multiply
    19,842.75x = 29,768.04 × 6,698.88
  4. Step 4: Simplify right side
    19,842.75x = 199,412,527.80
  5. Step 5: Solve for x
    x = 199,412,527.80/19,842.75
  6. Step 6: Final answer
    x = 10,049.64

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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.