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Finding the Fourth Proportional to 26,286, 39,427.56 and 10,716.72

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Solution

The fourth proportional to 26,286, 39,427.56 and 10,716.72 is: 16,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,286 : 39,427.56 = 10,716.72 : x
  2. Step 2: Convert to fraction form
    26,286/39,427.56 = 10,716.72/x
  3. Step 3: Cross multiply
    26,286x = 39,427.56 × 10,716.72
  4. Step 4: Simplify right side
    26,286x = 422,534,120.80
  5. Step 5: Solve for x
    x = 422,534,120.80/26,286
  6. Step 6: Final answer
    x = 16,074.49

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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.