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Finding the Fourth Proportional to 13,022.83, 17,971.74 and 7,054.75

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Solution

The fourth proportional to 13,022.83, 17,971.74 and 7,054.75 is: 9,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.83 : 17,971.74 = 7,054.75 : x
  2. Step 2: Convert to fraction form
    13,022.83/17,971.74 = 7,054.75/x
  3. Step 3: Cross multiply
    13,022.83x = 17,971.74 × 7,054.75
  4. Step 4: Simplify right side
    13,022.83x = 126,786,132.77
  5. Step 5: Solve for x
    x = 126,786,132.77/13,022.83
  6. Step 6: Final answer
    x = 9,735.68

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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.