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Finding the Fourth Proportional to 25,883.69, 38,790.50 and 11,826.41

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Solution

The fourth proportional to 25,883.69, 38,790.50 and 11,826.41 is: 17,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.69 : 38,790.50 = 11,826.41 : x
  2. Step 2: Convert to fraction form
    25,883.69/38,790.50 = 11,826.41/x
  3. Step 3: Cross multiply
    25,883.69x = 38,790.50 × 11,826.41
  4. Step 4: Simplify right side
    25,883.69x = 458,752,104.02
  5. Step 5: Solve for x
    x = 458,752,104.02/25,883.69
  6. Step 6: Final answer
    x = 17,723.60

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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.