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Finding the Fourth Proportional to 12,674.02, 19,009.81 and 3,906.58

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Solution

The fourth proportional to 12,674.02, 19,009.81 and 3,906.58 is: 5,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.02 : 19,009.81 = 3,906.58 : x
  2. Step 2: Convert to fraction form
    12,674.02/19,009.81 = 3,906.58/x
  3. Step 3: Cross multiply
    12,674.02x = 19,009.81 × 3,906.58
  4. Step 4: Simplify right side
    12,674.02x = 74,263,343.55
  5. Step 5: Solve for x
    x = 74,263,343.55/12,674.02
  6. Step 6: Final answer
    x = 5,859.49

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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.