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Finding the Fourth Proportional to 13,162.19, 18,163.79 and 7,193.90

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Solution

The fourth proportional to 13,162.19, 18,163.79 and 7,193.90 is: 9,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.19 : 18,163.79 = 7,193.90 : x
  2. Step 2: Convert to fraction form
    13,162.19/18,163.79 = 7,193.90/x
  3. Step 3: Cross multiply
    13,162.19x = 18,163.79 × 7,193.90
  4. Step 4: Simplify right side
    13,162.19x = 130,668,407.50
  5. Step 5: Solve for x
    x = 130,668,407.50/13,162.19
  6. Step 6: Final answer
    x = 9,927.56

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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.