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Finding the Fourth Proportional to 14,090.78, 21,137.57 and 5,208.44

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Solution

The fourth proportional to 14,090.78, 21,137.57 and 5,208.44 is: 7,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.78 : 21,137.57 = 5,208.44 : x
  2. Step 2: Convert to fraction form
    14,090.78/21,137.57 = 5,208.44/x
  3. Step 3: Cross multiply
    14,090.78x = 21,137.57 × 5,208.44
  4. Step 4: Simplify right side
    14,090.78x = 110,093,765.09
  5. Step 5: Solve for x
    x = 110,093,765.09/14,090.78
  6. Step 6: Final answer
    x = 7,813.18

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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.