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Finding the Fourth Proportional to 12,460.85, 17,195.32 and 7,745.03

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Solution

The fourth proportional to 12,460.85, 17,195.32 and 7,745.03 is: 10,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.85 : 17,195.32 = 7,745.03 : x
  2. Step 2: Convert to fraction form
    12,460.85/17,195.32 = 7,745.03/x
  3. Step 3: Cross multiply
    12,460.85x = 17,195.32 × 7,745.03
  4. Step 4: Simplify right side
    12,460.85x = 133,178,269.26
  5. Step 5: Solve for x
    x = 133,178,269.26/12,460.85
  6. Step 6: Final answer
    x = 10,687.74

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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.