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Finding the Fourth Proportional to 12,738.40, 17,578.86 and 7,072.94

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Solution

The fourth proportional to 12,738.40, 17,578.86 and 7,072.94 is: 9,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.40 : 17,578.86 = 7,072.94 : x
  2. Step 2: Convert to fraction form
    12,738.40/17,578.86 = 7,072.94/x
  3. Step 3: Cross multiply
    12,738.40x = 17,578.86 × 7,072.94
  4. Step 4: Simplify right side
    12,738.40x = 124,334,222.05
  5. Step 5: Solve for x
    x = 124,334,222.05/12,738.40
  6. Step 6: Final answer
    x = 9,760.58

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