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Finding the Fourth Proportional to 20,252.16, 30,147.84 and 19,297.92

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Solution

The fourth proportional to 20,252.16, 30,147.84 and 19,297.92 is: 28,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.16 : 30,147.84 = 19,297.92 : x
  2. Step 2: Convert to fraction form
    20,252.16/30,147.84 = 19,297.92/x
  3. Step 3: Cross multiply
    20,252.16x = 30,147.84 × 19,297.92
  4. Step 4: Simplify right side
    20,252.16x = 581,790,604.49
  5. Step 5: Solve for x
    x = 581,790,604.49/20,252.16
  6. Step 6: Final answer
    x = 28,727.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.