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Finding the Fourth Proportional to 12,467.70, 18,694.98 and 4,146.84

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Solution

The fourth proportional to 12,467.70, 18,694.98 and 4,146.84 is: 6,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.70 : 18,694.98 = 4,146.84 : x
  2. Step 2: Convert to fraction form
    12,467.70/18,694.98 = 4,146.84/x
  3. Step 3: Cross multiply
    12,467.70x = 18,694.98 × 4,146.84
  4. Step 4: Simplify right side
    12,467.70x = 77,525,090.86
  5. Step 5: Solve for x
    x = 77,525,090.86/12,467.70
  6. Step 6: Final answer
    x = 6,218.07

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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.