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Finding the Fourth Proportional to 12,715.44, 17,546.82 and 7,050.42

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Solution

The fourth proportional to 12,715.44, 17,546.82 and 7,050.42 is: 9,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.44 : 17,546.82 = 7,050.42 : x
  2. Step 2: Convert to fraction form
    12,715.44/17,546.82 = 7,050.42/x
  3. Step 3: Cross multiply
    12,715.44x = 17,546.82 × 7,050.42
  4. Step 4: Simplify right side
    12,715.44x = 123,712,450.66
  5. Step 5: Solve for x
    x = 123,712,450.66/12,715.44
  6. Step 6: Final answer
    x = 9,729.31

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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.