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Finding the Fourth Proportional to 20,198.45, 30,297.65 and 5,407.00

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Solution

The fourth proportional to 20,198.45, 30,297.65 and 5,407.00 is: 8,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.45 : 30,297.65 = 5,407.00 : x
  2. Step 2: Convert to fraction form
    20,198.45/30,297.65 = 5,407.00/x
  3. Step 3: Cross multiply
    20,198.45x = 30,297.65 × 5,407.00
  4. Step 4: Simplify right side
    20,198.45x = 163,819,290.77
  5. Step 5: Solve for x
    x = 163,819,290.77/20,198.45
  6. Step 6: Final answer
    x = 8,110.49

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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.