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Finding the Fourth Proportional to 13,010.29, 17,954.26 and 7,041.96

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Solution

The fourth proportional to 13,010.29, 17,954.26 and 7,041.96 is: 9,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.29 : 17,954.26 = 7,041.96 : x
  2. Step 2: Convert to fraction form
    13,010.29/17,954.26 = 7,041.96/x
  3. Step 3: Cross multiply
    13,010.29x = 17,954.26 × 7,041.96
  4. Step 4: Simplify right side
    13,010.29x = 126,433,163.14
  5. Step 5: Solve for x
    x = 126,433,163.14/13,010.29
  6. Step 6: Final answer
    x = 9,717.94

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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.