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Finding the Fourth Proportional to 20,543.22, 30,814.83 and 5,754.33

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Solution

The fourth proportional to 20,543.22, 30,814.83 and 5,754.33 is: 8,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.22 : 30,814.83 = 5,754.33 : x
  2. Step 2: Convert to fraction form
    20,543.22/30,814.83 = 5,754.33/x
  3. Step 3: Cross multiply
    20,543.22x = 30,814.83 × 5,754.33
  4. Step 4: Simplify right side
    20,543.22x = 177,318,700.71
  5. Step 5: Solve for x
    x = 177,318,700.71/20,543.22
  6. Step 6: Final answer
    x = 8,631.50

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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.