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Finding the Fourth Proportional to 12,706.20, 19,060.02 and 3,942.36

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Solution

The fourth proportional to 12,706.20, 19,060.02 and 3,942.36 is: 5,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.20 : 19,060.02 = 3,942.36 : x
  2. Step 2: Convert to fraction form
    12,706.20/19,060.02 = 3,942.36/x
  3. Step 3: Cross multiply
    12,706.20x = 19,060.02 × 3,942.36
  4. Step 4: Simplify right side
    12,706.20x = 75,141,460.45
  5. Step 5: Solve for x
    x = 75,141,460.45/12,706.20
  6. Step 6: Final answer
    x = 5,913.76

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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.