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Finding the Fourth Proportional to 19,706.52, 29,565.87 and 6,884.97

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Solution

The fourth proportional to 19,706.52, 29,565.87 and 6,884.97 is: 10,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.52 : 29,565.87 = 6,884.97 : x
  2. Step 2: Convert to fraction form
    19,706.52/29,565.87 = 6,884.97/x
  3. Step 3: Cross multiply
    19,706.52x = 29,565.87 × 6,884.97
  4. Step 4: Simplify right side
    19,706.52x = 203,560,127.97
  5. Step 5: Solve for x
    x = 203,560,127.97/19,706.52
  6. Step 6: Final answer
    x = 10,329.58

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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.