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Finding the Fourth Proportional to 12,735.46, 19,103.01 and 6,162.22

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Solution

The fourth proportional to 12,735.46, 19,103.01 and 6,162.22 is: 9,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.46 : 19,103.01 = 6,162.22 : x
  2. Step 2: Convert to fraction form
    12,735.46/19,103.01 = 6,162.22/x
  3. Step 3: Cross multiply
    12,735.46x = 19,103.01 × 6,162.22
  4. Step 4: Simplify right side
    12,735.46x = 117,716,950.28
  5. Step 5: Solve for x
    x = 117,716,950.28/12,735.46
  6. Step 6: Final answer
    x = 9,243.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.