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Finding the Fourth Proportional to 19,176.12, 28,771.12 and 6,698

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Solution

The fourth proportional to 19,176.12, 28,771.12 and 6,698 is: 10,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176.12 : 28,771.12 = 6,698 : x
  2. Step 2: Convert to fraction form
    19,176.12/28,771.12 = 6,698/x
  3. Step 3: Cross multiply
    19,176.12x = 28,771.12 × 6,698
  4. Step 4: Simplify right side
    19,176.12x = 192,708,961.76
  5. Step 5: Solve for x
    x = 192,708,961.76/19,176.12
  6. Step 6: Final answer
    x = 10,049.42

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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.