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Finding the Fourth Proportional to 12,674.50, 19,012.02 and 3,910.18

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Solution

The fourth proportional to 12,674.50, 19,012.02 and 3,910.18 is: 5,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.50 : 19,012.02 = 3,910.18 : x
  2. Step 2: Convert to fraction form
    12,674.50/19,012.02 = 3,910.18/x
  3. Step 3: Cross multiply
    12,674.50x = 19,012.02 × 3,910.18
  4. Step 4: Simplify right side
    12,674.50x = 74,340,420.36
  5. Step 5: Solve for x
    x = 74,340,420.36/12,674.50
  6. Step 6: Final answer
    x = 5,865.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.