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Finding the Fourth Proportional to 13,629.38, 18,808.36 and 7,662.05

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Solution

The fourth proportional to 13,629.38, 18,808.36 and 7,662.05 is: 10,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.38 : 18,808.36 = 7,662.05 : x
  2. Step 2: Convert to fraction form
    13,629.38/18,808.36 = 7,662.05/x
  3. Step 3: Cross multiply
    13,629.38x = 18,808.36 × 7,662.05
  4. Step 4: Simplify right side
    13,629.38x = 144,110,594.74
  5. Step 5: Solve for x
    x = 144,110,594.74/13,629.38
  6. Step 6: Final answer
    x = 10,573.53

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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.