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Finding the Fourth Proportional to 26,544.16, 39,810.21 and 7,825.47

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Solution

The fourth proportional to 26,544.16, 39,810.21 and 7,825.47 is: 11,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,544.16 : 39,810.21 = 7,825.47 : x
  2. Step 2: Convert to fraction form
    26,544.16/39,810.21 = 7,825.47/x
  3. Step 3: Cross multiply
    26,544.16x = 39,810.21 × 7,825.47
  4. Step 4: Simplify right side
    26,544.16x = 311,533,604.05
  5. Step 5: Solve for x
    x = 311,533,604.05/26,544.16
  6. Step 6: Final answer
    x = 11,736.43

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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.