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Finding the Fourth Proportional to 13,408.56, 20,112.82 and 7,900.35

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Solution

The fourth proportional to 13,408.56, 20,112.82 and 7,900.35 is: 11,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.56 : 20,112.82 = 7,900.35 : x
  2. Step 2: Convert to fraction form
    13,408.56/20,112.82 = 7,900.35/x
  3. Step 3: Cross multiply
    13,408.56x = 20,112.82 × 7,900.35
  4. Step 4: Simplify right side
    13,408.56x = 158,898,317.49
  5. Step 5: Solve for x
    x = 158,898,317.49/13,408.56
  6. Step 6: Final answer
    x = 11,850.51

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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.