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Finding the Fourth Proportional to 12,474.70, 18,709.65 and 3,709.90

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Solution

The fourth proportional to 12,474.70, 18,709.65 and 3,709.90 is: 5,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.70 : 18,709.65 = 3,709.90 : x
  2. Step 2: Convert to fraction form
    12,474.70/18,709.65 = 3,709.90/x
  3. Step 3: Cross multiply
    12,474.70x = 18,709.65 × 3,709.90
  4. Step 4: Simplify right side
    12,474.70x = 69,410,930.54
  5. Step 5: Solve for x
    x = 69,410,930.54/12,474.70
  6. Step 6: Final answer
    x = 5,564.14

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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.