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Finding the Fourth Proportional to 20,830.72, 31,245.94 and 8,350.57

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Solution

The fourth proportional to 20,830.72, 31,245.94 and 8,350.57 is: 12,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.72 : 31,245.94 = 8,350.57 : x
  2. Step 2: Convert to fraction form
    20,830.72/31,245.94 = 8,350.57/x
  3. Step 3: Cross multiply
    20,830.72x = 31,245.94 × 8,350.57
  4. Step 4: Simplify right side
    20,830.72x = 260,921,409.19
  5. Step 5: Solve for x
    x = 260,921,409.19/20,830.72
  6. Step 6: Final answer
    x = 12,525.80

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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.