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Finding the Fourth Proportional to 13,022.96, 17,971.62 and 7,433.96

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Solution

The fourth proportional to 13,022.96, 17,971.62 and 7,433.96 is: 10,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.96 : 17,971.62 = 7,433.96 : x
  2. Step 2: Convert to fraction form
    13,022.96/17,971.62 = 7,433.96/x
  3. Step 3: Cross multiply
    13,022.96x = 17,971.62 × 7,433.96
  4. Step 4: Simplify right side
    13,022.96x = 133,600,304.22
  5. Step 5: Solve for x
    x = 133,600,304.22/13,022.96
  6. Step 6: Final answer
    x = 10,258.83

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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.