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Finding the Fourth Proportional to 25,662.69, 38,493.23 and 6,428.43

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Solution

The fourth proportional to 25,662.69, 38,493.23 and 6,428.43 is: 9,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.69 : 38,493.23 = 6,428.43 : x
  2. Step 2: Convert to fraction form
    25,662.69/38,493.23 = 6,428.43/x
  3. Step 3: Cross multiply
    25,662.69x = 38,493.23 × 6,428.43
  4. Step 4: Simplify right side
    25,662.69x = 247,451,002.39
  5. Step 5: Solve for x
    x = 247,451,002.39/25,662.69
  6. Step 6: Final answer
    x = 9,642.44

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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.