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Finding the Fourth Proportional to 19,825.62, 29,725.47 and 6,674.46

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Solution

The fourth proportional to 19,825.62, 29,725.47 and 6,674.46 is: 10,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.62 : 29,725.47 = 6,674.46 : x
  2. Step 2: Convert to fraction form
    19,825.62/29,725.47 = 6,674.46/x
  3. Step 3: Cross multiply
    19,825.62x = 29,725.47 × 6,674.46
  4. Step 4: Simplify right side
    19,825.62x = 198,401,460.50
  5. Step 5: Solve for x
    x = 198,401,460.50/19,825.62
  6. Step 6: Final answer
    x = 10,007.33

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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.