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Finding the Fourth Proportional to 25,295.96, 37,967.21 and 12,824.84

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Solution

The fourth proportional to 25,295.96, 37,967.21 and 12,824.84 is: 19,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.96 : 37,967.21 = 12,824.84 : x
  2. Step 2: Convert to fraction form
    25,295.96/37,967.21 = 12,824.84/x
  3. Step 3: Cross multiply
    25,295.96x = 37,967.21 × 12,824.84
  4. Step 4: Simplify right side
    25,295.96x = 486,923,139.54
  5. Step 5: Solve for x
    x = 486,923,139.54/25,295.96
  6. Step 6: Final answer
    x = 19,249.05

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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.