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Finding the Fourth Proportional to 20,531.17, 30,814.06 and 8,059.95

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Solution

The fourth proportional to 20,531.17, 30,814.06 and 8,059.95 is: 12,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531.17 : 30,814.06 = 8,059.95 : x
  2. Step 2: Convert to fraction form
    20,531.17/30,814.06 = 8,059.95/x
  3. Step 3: Cross multiply
    20,531.17x = 30,814.06 × 8,059.95
  4. Step 4: Simplify right side
    20,531.17x = 248,359,770.36
  5. Step 5: Solve for x
    x = 248,359,770.36/20,531.17
  6. Step 6: Final answer
    x = 12,096.72

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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.