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Finding the Fourth Proportional to 12,447.85, 17,170.30 and 7,408.64

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Solution

The fourth proportional to 12,447.85, 17,170.30 and 7,408.64 is: 10,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.85 : 17,170.30 = 7,408.64 : x
  2. Step 2: Convert to fraction form
    12,447.85/17,170.30 = 7,408.64/x
  3. Step 3: Cross multiply
    12,447.85x = 17,170.30 × 7,408.64
  4. Step 4: Simplify right side
    12,447.85x = 127,208,571.39
  5. Step 5: Solve for x
    x = 127,208,571.39/12,447.85
  6. Step 6: Final answer
    x = 10,219.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.