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Finding the Fourth Proportional to 19,069, 28,594.38 and 5,921.48

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Solution

The fourth proportional to 19,069, 28,594.38 and 5,921.48 is: 8,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069 : 28,594.38 = 5,921.48 : x
  2. Step 2: Convert to fraction form
    19,069/28,594.38 = 5,921.48/x
  3. Step 3: Cross multiply
    19,069x = 28,594.38 × 5,921.48
  4. Step 4: Simplify right side
    19,069x = 169,321,049.28
  5. Step 5: Solve for x
    x = 169,321,049.28/19,069
  6. Step 6: Final answer
    x = 8,879.39

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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.