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Finding the Fourth Proportional to 20,697.80, 31,043.01 and 8,858.23

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Solution

The fourth proportional to 20,697.80, 31,043.01 and 8,858.23 is: 13,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.80 : 31,043.01 = 8,858.23 : x
  2. Step 2: Convert to fraction form
    20,697.80/31,043.01 = 8,858.23/x
  3. Step 3: Cross multiply
    20,697.80x = 31,043.01 × 8,858.23
  4. Step 4: Simplify right side
    20,697.80x = 274,986,078.08
  5. Step 5: Solve for x
    x = 274,986,078.08/20,697.80
  6. Step 6: Final answer
    x = 13,285.77

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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.