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Finding the Fourth Proportional to 12,971.62, 17,898.24 and 7,667.29

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Solution

The fourth proportional to 12,971.62, 17,898.24 and 7,667.29 is: 10,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.62 : 17,898.24 = 7,667.29 : x
  2. Step 2: Convert to fraction form
    12,971.62/17,898.24 = 7,667.29/x
  3. Step 3: Cross multiply
    12,971.62x = 17,898.24 × 7,667.29
  4. Step 4: Simplify right side
    12,971.62x = 137,230,996.57
  5. Step 5: Solve for x
    x = 137,230,996.57/12,971.62
  6. Step 6: Final answer
    x = 10,579.33

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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.