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Finding the Fourth Proportional to 12,309.42, 18,453.15 and 4,516.41

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Solution

The fourth proportional to 12,309.42, 18,453.15 and 4,516.41 is: 6,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.42 : 18,453.15 = 4,516.41 : x
  2. Step 2: Convert to fraction form
    12,309.42/18,453.15 = 4,516.41/x
  3. Step 3: Cross multiply
    12,309.42x = 18,453.15 × 4,516.41
  4. Step 4: Simplify right side
    12,309.42x = 83,341,991.19
  5. Step 5: Solve for x
    x = 83,341,991.19/12,309.42
  6. Step 6: Final answer
    x = 6,770.59

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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.