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Finding the Fourth Proportional to 13,314.38, 18,375.66 and 7,725.38

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Solution

The fourth proportional to 13,314.38, 18,375.66 and 7,725.38 is: 10,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.38 : 18,375.66 = 7,725.38 : x
  2. Step 2: Convert to fraction form
    13,314.38/18,375.66 = 7,725.38/x
  3. Step 3: Cross multiply
    13,314.38x = 18,375.66 × 7,725.38
  4. Step 4: Simplify right side
    13,314.38x = 141,958,864.37
  5. Step 5: Solve for x
    x = 141,958,864.37/13,314.38
  6. Step 6: Final answer
    x = 10,662.07

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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.