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Finding the Fourth Proportional to 20,809.59, 31,199.81 and 7,660.26

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Solution

The fourth proportional to 20,809.59, 31,199.81 and 7,660.26 is: 11,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.59 : 31,199.81 = 7,660.26 : x
  2. Step 2: Convert to fraction form
    20,809.59/31,199.81 = 7,660.26/x
  3. Step 3: Cross multiply
    20,809.59x = 31,199.81 × 7,660.26
  4. Step 4: Simplify right side
    20,809.59x = 238,998,618.25
  5. Step 5: Solve for x
    x = 238,998,618.25/20,809.59
  6. Step 6: Final answer
    x = 11,485.02

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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.