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Finding the Fourth Proportional to 20,812.83, 31,294.17 and 19,189.23

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Solution

The fourth proportional to 20,812.83, 31,294.17 and 19,189.23 is: 28,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.83 : 31,294.17 = 19,189.23 : x
  2. Step 2: Convert to fraction form
    20,812.83/31,294.17 = 19,189.23/x
  3. Step 3: Cross multiply
    20,812.83x = 31,294.17 × 19,189.23
  4. Step 4: Simplify right side
    20,812.83x = 600,511,025.79
  5. Step 5: Solve for x
    x = 600,511,025.79/20,812.83
  6. Step 6: Final answer
    x = 28,852.93

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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.