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Finding the Fourth Proportional to 20,157.80, 30,236.76 and 8,470.98

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Solution

The fourth proportional to 20,157.80, 30,236.76 and 8,470.98 is: 12,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.80 : 30,236.76 = 8,470.98 : x
  2. Step 2: Convert to fraction form
    20,157.80/30,236.76 = 8,470.98/x
  3. Step 3: Cross multiply
    20,157.80x = 30,236.76 × 8,470.98
  4. Step 4: Simplify right side
    20,157.80x = 256,134,989.22
  5. Step 5: Solve for x
    x = 256,134,989.22/20,157.80
  6. Step 6: Final answer
    x = 12,706.50

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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.