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Finding the Fourth Proportional to 20,594.82, 30,894.24 and 7,444.10

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Solution

The fourth proportional to 20,594.82, 30,894.24 and 7,444.10 is: 11,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.82 : 30,894.24 = 7,444.10 : x
  2. Step 2: Convert to fraction form
    20,594.82/30,894.24 = 7,444.10/x
  3. Step 3: Cross multiply
    20,594.82x = 30,894.24 × 7,444.10
  4. Step 4: Simplify right side
    20,594.82x = 229,979,811.98
  5. Step 5: Solve for x
    x = 229,979,811.98/20,594.82
  6. Step 6: Final answer
    x = 11,166.88

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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.