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Finding the Fourth Proportional to 12,675.45, 18,991.77 and 5,644.71

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Solution

The fourth proportional to 12,675.45, 18,991.77 and 5,644.71 is: 8,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.45 : 18,991.77 = 5,644.71 : x
  2. Step 2: Convert to fraction form
    12,675.45/18,991.77 = 5,644.71/x
  3. Step 3: Cross multiply
    12,675.45x = 18,991.77 × 5,644.71
  4. Step 4: Simplify right side
    12,675.45x = 107,203,034.04
  5. Step 5: Solve for x
    x = 107,203,034.04/12,675.45
  6. Step 6: Final answer
    x = 8,457.53

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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.