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Finding the Fourth Proportional to 20,196.84, 30,292.83 and 5,405.43

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Solution

The fourth proportional to 20,196.84, 30,292.83 and 5,405.43 is: 8,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.84 : 30,292.83 = 5,405.43 : x
  2. Step 2: Convert to fraction form
    20,196.84/30,292.83 = 5,405.43/x
  3. Step 3: Cross multiply
    20,196.84x = 30,292.83 × 5,405.43
  4. Step 4: Simplify right side
    20,196.84x = 163,745,772.07
  5. Step 5: Solve for x
    x = 163,745,772.07/20,196.84
  6. Step 6: Final answer
    x = 8,107.49

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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.