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Finding the Fourth Proportional to 12,879, 19,318.50 and 3,645

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Solution

The fourth proportional to 12,879, 19,318.50 and 3,645 is: 5,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879 : 19,318.50 = 3,645 : x
  2. Step 2: Convert to fraction form
    12,879/19,318.50 = 3,645/x
  3. Step 3: Cross multiply
    12,879x = 19,318.50 × 3,645
  4. Step 4: Simplify right side
    12,879x = 70,415,932.50
  5. Step 5: Solve for x
    x = 70,415,932.50/12,879
  6. Step 6: Final answer
    x = 5,467.50

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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.