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Finding the Fourth Proportional to 12,741.93, 17,584.74 and 7,706.36

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Solution

The fourth proportional to 12,741.93, 17,584.74 and 7,706.36 is: 10,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.93 : 17,584.74 = 7,706.36 : x
  2. Step 2: Convert to fraction form
    12,741.93/17,584.74 = 7,706.36/x
  3. Step 3: Cross multiply
    12,741.93x = 17,584.74 × 7,706.36
  4. Step 4: Simplify right side
    12,741.93x = 135,514,249.02
  5. Step 5: Solve for x
    x = 135,514,249.02/12,741.93
  6. Step 6: Final answer
    x = 10,635.30

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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.