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Finding the Fourth Proportional to 13,672.38, 18,867.89 and 7,384.75

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Solution

The fourth proportional to 13,672.38, 18,867.89 and 7,384.75 is: 10,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.38 : 18,867.89 = 7,384.75 : x
  2. Step 2: Convert to fraction form
    13,672.38/18,867.89 = 7,384.75/x
  3. Step 3: Cross multiply
    13,672.38x = 18,867.89 × 7,384.75
  4. Step 4: Simplify right side
    13,672.38x = 139,334,650.68
  5. Step 5: Solve for x
    x = 139,334,650.68/13,672.38
  6. Step 6: Final answer
    x = 10,190.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.