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Finding the Fourth Proportional to 13,022.62, 17,971.23 and 7,054.34

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Solution

The fourth proportional to 13,022.62, 17,971.23 and 7,054.34 is: 9,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.62 : 17,971.23 = 7,054.34 : x
  2. Step 2: Convert to fraction form
    13,022.62/17,971.23 = 7,054.34/x
  3. Step 3: Cross multiply
    13,022.62x = 17,971.23 × 7,054.34
  4. Step 4: Simplify right side
    13,022.62x = 126,775,103.24
  5. Step 5: Solve for x
    x = 126,775,103.24/13,022.62
  6. Step 6: Final answer
    x = 9,734.99

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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.