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Finding the Fourth Proportional to 12,647.34, 17,453.23 and 6,982.08

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Solution

The fourth proportional to 12,647.34, 17,453.23 and 6,982.08 is: 9,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.34 : 17,453.23 = 6,982.08 : x
  2. Step 2: Convert to fraction form
    12,647.34/17,453.23 = 6,982.08/x
  3. Step 3: Cross multiply
    12,647.34x = 17,453.23 × 6,982.08
  4. Step 4: Simplify right side
    12,647.34x = 121,859,883.03
  5. Step 5: Solve for x
    x = 121,859,883.03/12,647.34
  6. Step 6: Final answer
    x = 9,635.22

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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.