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Finding the Fourth Proportional to 26,095.26, 39,149.36 and 7,627.26

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Solution

The fourth proportional to 26,095.26, 39,149.36 and 7,627.26 is: 11,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,095.26 : 39,149.36 = 7,627.26 : x
  2. Step 2: Convert to fraction form
    26,095.26/39,149.36 = 7,627.26/x
  3. Step 3: Cross multiply
    26,095.26x = 39,149.36 × 7,627.26
  4. Step 4: Simplify right side
    26,095.26x = 298,602,347.55
  5. Step 5: Solve for x
    x = 298,602,347.55/26,095.26
  6. Step 6: Final answer
    x = 11,442.78

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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.