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Finding the Fourth Proportional to 12,514.35, 17,266.73 and 7,667.72

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Solution

The fourth proportional to 12,514.35, 17,266.73 and 7,667.72 is: 10,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.35 : 17,266.73 = 7,667.72 : x
  2. Step 2: Convert to fraction form
    12,514.35/17,266.73 = 7,667.72/x
  3. Step 3: Cross multiply
    12,514.35x = 17,266.73 × 7,667.72
  4. Step 4: Simplify right side
    12,514.35x = 132,396,450.96
  5. Step 5: Solve for x
    x = 132,396,450.96/12,514.35
  6. Step 6: Final answer
    x = 10,579.57

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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.