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Finding the Fourth Proportional to 12,770.37, 19,132.49 and 5,361.57

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Solution

The fourth proportional to 12,770.37, 19,132.49 and 5,361.57 is: 8,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.37 : 19,132.49 = 5,361.57 : x
  2. Step 2: Convert to fraction form
    12,770.37/19,132.49 = 5,361.57/x
  3. Step 3: Cross multiply
    12,770.37x = 19,132.49 × 5,361.57
  4. Step 4: Simplify right side
    12,770.37x = 102,580,136.46
  5. Step 5: Solve for x
    x = 102,580,136.46/12,770.37
  6. Step 6: Final answer
    x = 8,032.67

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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.