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Finding the Fourth Proportional to 25,205.26, 37,813.54 and 7,676.46

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Solution

The fourth proportional to 25,205.26, 37,813.54 and 7,676.46 is: 11,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.26 : 37,813.54 = 7,676.46 : x
  2. Step 2: Convert to fraction form
    25,205.26/37,813.54 = 7,676.46/x
  3. Step 3: Cross multiply
    25,205.26x = 37,813.54 × 7,676.46
  4. Step 4: Simplify right side
    25,205.26x = 290,274,127.27
  5. Step 5: Solve for x
    x = 290,274,127.27/25,205.26
  6. Step 6: Final answer
    x = 11,516.41

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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.