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Finding the Fourth Proportional to 20,186.40, 30,283.92 and 8,505.12

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Solution

The fourth proportional to 20,186.40, 30,283.92 and 8,505.12 is: 12,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.40 : 30,283.92 = 8,505.12 : x
  2. Step 2: Convert to fraction form
    20,186.40/30,283.92 = 8,505.12/x
  3. Step 3: Cross multiply
    20,186.40x = 30,283.92 × 8,505.12
  4. Step 4: Simplify right side
    20,186.40x = 257,568,373.67
  5. Step 5: Solve for x
    x = 257,568,373.67/20,186.40
  6. Step 6: Final answer
    x = 12,759.50

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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.