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Finding the Fourth Proportional to 12,912.56, 19,367.03 and 4,146.34

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Solution

The fourth proportional to 12,912.56, 19,367.03 and 4,146.34 is: 6,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.56 : 19,367.03 = 4,146.34 : x
  2. Step 2: Convert to fraction form
    12,912.56/19,367.03 = 4,146.34/x
  3. Step 3: Cross multiply
    12,912.56x = 19,367.03 × 4,146.34
  4. Step 4: Simplify right side
    12,912.56x = 80,302,222.02
  5. Step 5: Solve for x
    x = 80,302,222.02/12,912.56
  6. Step 6: Final answer
    x = 6,218.92

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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.