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Finding the Fourth Proportional to 25,672.26, 38,576.07 and 13,834.83

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Solution

The fourth proportional to 25,672.26, 38,576.07 and 13,834.83 is: 20,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.26 : 38,576.07 = 13,834.83 : x
  2. Step 2: Convert to fraction form
    25,672.26/38,576.07 = 13,834.83/x
  3. Step 3: Cross multiply
    25,672.26x = 38,576.07 × 13,834.83
  4. Step 4: Simplify right side
    25,672.26x = 533,693,370.52
  5. Step 5: Solve for x
    x = 533,693,370.52/25,672.26
  6. Step 6: Final answer
    x = 20,788.72

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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.