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Finding the Fourth Proportional to 12,744.70, 19,113.81 and 3,980.50

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Solution

The fourth proportional to 12,744.70, 19,113.81 and 3,980.50 is: 5,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.70 : 19,113.81 = 3,980.50 : x
  2. Step 2: Convert to fraction form
    12,744.70/19,113.81 = 3,980.50/x
  3. Step 3: Cross multiply
    12,744.70x = 19,113.81 × 3,980.50
  4. Step 4: Simplify right side
    12,744.70x = 76,082,520.71
  5. Step 5: Solve for x
    x = 76,082,520.71/12,744.70
  6. Step 6: Final answer
    x = 5,969.74

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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.