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Finding the Fourth Proportional to 20,197.58, 30,295.92 and 5,406.50

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Solution

The fourth proportional to 20,197.58, 30,295.92 and 5,406.50 is: 8,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.58 : 30,295.92 = 5,406.50 : x
  2. Step 2: Convert to fraction form
    20,197.58/30,295.92 = 5,406.50/x
  3. Step 3: Cross multiply
    20,197.58x = 30,295.92 × 5,406.50
  4. Step 4: Simplify right side
    20,197.58x = 163,794,740.00
  5. Step 5: Solve for x
    x = 163,794,740.00/20,197.58
  6. Step 6: Final answer
    x = 8,109.62

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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.