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Finding the Fourth Proportional to 12,606.47, 18,911.96 and 4,286.05

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Solution

The fourth proportional to 12,606.47, 18,911.96 and 4,286.05 is: 6,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.47 : 18,911.96 = 4,286.05 : x
  2. Step 2: Convert to fraction form
    12,606.47/18,911.96 = 4,286.05/x
  3. Step 3: Cross multiply
    12,606.47x = 18,911.96 × 4,286.05
  4. Step 4: Simplify right side
    12,606.47x = 81,057,537.45
  5. Step 5: Solve for x
    x = 81,057,537.45/12,606.47
  6. Step 6: Final answer
    x = 6,429.84

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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.