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Finding the Fourth Proportional to 21,212.56, 31,814.68 and 20,158.68

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Solution

The fourth proportional to 21,212.56, 31,814.68 and 20,158.68 is: 30,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.56 : 31,814.68 = 20,158.68 : x
  2. Step 2: Convert to fraction form
    21,212.56/31,814.68 = 20,158.68/x
  3. Step 3: Cross multiply
    21,212.56x = 31,814.68 × 20,158.68
  4. Step 4: Simplify right side
    21,212.56x = 641,341,953.42
  5. Step 5: Solve for x
    x = 641,341,953.42/21,212.56
  6. Step 6: Final answer
    x = 30,234.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.