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Finding the Fourth Proportional to 19,195, 28,794.15 and 5,344

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Solution

The fourth proportional to 19,195, 28,794.15 and 5,344 is: 8,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195 : 28,794.15 = 5,344 : x
  2. Step 2: Convert to fraction form
    19,195/28,794.15 = 5,344/x
  3. Step 3: Cross multiply
    19,195x = 28,794.15 × 5,344
  4. Step 4: Simplify right side
    19,195x = 153,875,937.60
  5. Step 5: Solve for x
    x = 153,875,937.60/19,195
  6. Step 6: Final answer
    x = 8,016.46

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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.