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Finding the Fourth Proportional to 20,808.69, 31,216.14 and 7,660.06

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Solution

The fourth proportional to 20,808.69, 31,216.14 and 7,660.06 is: 11,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.69 : 31,216.14 = 7,660.06 : x
  2. Step 2: Convert to fraction form
    20,808.69/31,216.14 = 7,660.06/x
  3. Step 3: Cross multiply
    20,808.69x = 31,216.14 × 7,660.06
  4. Step 4: Simplify right side
    20,808.69x = 239,117,310.99
  5. Step 5: Solve for x
    x = 239,117,310.99/20,808.69
  6. Step 6: Final answer
    x = 11,491.23

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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.