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Finding the Fourth Proportional to 20,774.68, 31,162.38 and 7,628.20

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Solution

The fourth proportional to 20,774.68, 31,162.38 and 7,628.20 is: 11,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.68 : 31,162.38 = 7,628.20 : x
  2. Step 2: Convert to fraction form
    20,774.68/31,162.38 = 7,628.20/x
  3. Step 3: Cross multiply
    20,774.68x = 31,162.38 × 7,628.20
  4. Step 4: Simplify right side
    20,774.68x = 237,712,867.12
  5. Step 5: Solve for x
    x = 237,712,867.12/20,774.68
  6. Step 6: Final answer
    x = 11,442.43

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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.