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Finding the Fourth Proportional to 13,022.73, 17,971.37 and 7,054.38

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Solution

The fourth proportional to 13,022.73, 17,971.37 and 7,054.38 is: 9,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.73 : 17,971.37 = 7,054.38 : x
  2. Step 2: Convert to fraction form
    13,022.73/17,971.37 = 7,054.38/x
  3. Step 3: Cross multiply
    13,022.73x = 17,971.37 × 7,054.38
  4. Step 4: Simplify right side
    13,022.73x = 126,776,890.74
  5. Step 5: Solve for x
    x = 126,776,890.74/13,022.73
  6. Step 6: Final answer
    x = 9,735.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.