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Finding the Fourth Proportional to 25,293.87, 37,964.12 and 12,822.75

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Solution

The fourth proportional to 25,293.87, 37,964.12 and 12,822.75 is: 19,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.87 : 37,964.12 = 12,822.75 : x
  2. Step 2: Convert to fraction form
    25,293.87/37,964.12 = 12,822.75/x
  3. Step 3: Cross multiply
    25,293.87x = 37,964.12 × 12,822.75
  4. Step 4: Simplify right side
    25,293.87x = 486,804,355.62
  5. Step 5: Solve for x
    x = 486,804,355.62/25,293.87
  6. Step 6: Final answer
    x = 19,245.94

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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.