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Finding the Fourth Proportional to 12,505.70, 18,759.36 and 4,185.38

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Solution

The fourth proportional to 12,505.70, 18,759.36 and 4,185.38 is: 6,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.70 : 18,759.36 = 4,185.38 : x
  2. Step 2: Convert to fraction form
    12,505.70/18,759.36 = 4,185.38/x
  3. Step 3: Cross multiply
    12,505.70x = 18,759.36 × 4,185.38
  4. Step 4: Simplify right side
    12,505.70x = 78,515,050.16
  5. Step 5: Solve for x
    x = 78,515,050.16/12,505.70
  6. Step 6: Final answer
    x = 6,278.34

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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.