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Finding the Fourth Proportional to 20,902.69, 31,321.23 and 12,562.93

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Solution

The fourth proportional to 20,902.69, 31,321.23 and 12,562.93 is: 18,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.69 : 31,321.23 = 12,562.93 : x
  2. Step 2: Convert to fraction form
    20,902.69/31,321.23 = 12,562.93/x
  3. Step 3: Cross multiply
    20,902.69x = 31,321.23 × 12,562.93
  4. Step 4: Simplify right side
    20,902.69x = 393,486,420.00
  5. Step 5: Solve for x
    x = 393,486,420.00/20,902.69
  6. Step 6: Final answer
    x = 18,824.68

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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.