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Finding the Fourth Proportional to 26,284.75, 39,427.14 and 7,816.75

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Solution

The fourth proportional to 26,284.75, 39,427.14 and 7,816.75 is: 11,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,284.75 : 39,427.14 = 7,816.75 : x
  2. Step 2: Convert to fraction form
    26,284.75/39,427.14 = 7,816.75/x
  3. Step 3: Cross multiply
    26,284.75x = 39,427.14 × 7,816.75
  4. Step 4: Simplify right side
    26,284.75x = 308,192,096.60
  5. Step 5: Solve for x
    x = 308,192,096.60/26,284.75
  6. Step 6: Final answer
    x = 11,725.13

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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.