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Finding the Fourth Proportional to 20,980.80, 31,471.20 and 20,069.69

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Solution

The fourth proportional to 20,980.80, 31,471.20 and 20,069.69 is: 30,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.80 : 31,471.20 = 20,069.69 : x
  2. Step 2: Convert to fraction form
    20,980.80/31,471.20 = 20,069.69/x
  3. Step 3: Cross multiply
    20,980.80x = 31,471.20 × 20,069.69
  4. Step 4: Simplify right side
    20,980.80x = 631,617,127.58
  5. Step 5: Solve for x
    x = 631,617,127.58/20,980.80
  6. Step 6: Final answer
    x = 30,104.54

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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.