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Finding the Fourth Proportional to 20,122.58, 30,186.60 and 8,433.06

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Solution

The fourth proportional to 20,122.58, 30,186.60 and 8,433.06 is: 12,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.58 : 30,186.60 = 8,433.06 : x
  2. Step 2: Convert to fraction form
    20,122.58/30,186.60 = 8,433.06/x
  3. Step 3: Cross multiply
    20,122.58x = 30,186.60 × 8,433.06
  4. Step 4: Simplify right side
    20,122.58x = 254,565,409.00
  5. Step 5: Solve for x
    x = 254,565,409.00/20,122.58
  6. Step 6: Final answer
    x = 12,650.73

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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.