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Finding the Fourth Proportional to 25,078.26, 37,634.66 and 8,662.26

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Solution

The fourth proportional to 25,078.26, 37,634.66 and 8,662.26 is: 12,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078.26 : 37,634.66 = 8,662.26 : x
  2. Step 2: Convert to fraction form
    25,078.26/37,634.66 = 8,662.26/x
  3. Step 3: Cross multiply
    25,078.26x = 37,634.66 × 8,662.26
  4. Step 4: Simplify right side
    25,078.26x = 326,001,209.93
  5. Step 5: Solve for x
    x = 326,001,209.93/25,078.26
  6. Step 6: Final answer
    x = 12,999.36

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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.