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Finding the Fourth Proportional to 20,776.85, 31,164.24 and 7,628.22

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Solution

The fourth proportional to 20,776.85, 31,164.24 and 7,628.22 is: 11,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.85 : 31,164.24 = 7,628.22 : x
  2. Step 2: Convert to fraction form
    20,776.85/31,164.24 = 7,628.22/x
  3. Step 3: Cross multiply
    20,776.85x = 31,164.24 × 7,628.22
  4. Step 4: Simplify right side
    20,776.85x = 237,727,678.85
  5. Step 5: Solve for x
    x = 237,727,678.85/20,776.85
  6. Step 6: Final answer
    x = 11,441.95

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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.