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Finding the Fourth Proportional to 26,012.25, 39,019.46 and 7,544.25

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Solution

The fourth proportional to 26,012.25, 39,019.46 and 7,544.25 is: 11,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012.25 : 39,019.46 = 7,544.25 : x
  2. Step 2: Convert to fraction form
    26,012.25/39,019.46 = 7,544.25/x
  3. Step 3: Cross multiply
    26,012.25x = 39,019.46 × 7,544.25
  4. Step 4: Simplify right side
    26,012.25x = 294,372,523.38
  5. Step 5: Solve for x
    x = 294,372,523.38/26,012.25
  6. Step 6: Final answer
    x = 11,316.69

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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.