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Finding the Fourth Proportional to 13,462.41, 20,197.74 and 6,893.21

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Solution

The fourth proportional to 13,462.41, 20,197.74 and 6,893.21 is: 10,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.41 : 20,197.74 = 6,893.21 : x
  2. Step 2: Convert to fraction form
    13,462.41/20,197.74 = 6,893.21/x
  3. Step 3: Cross multiply
    13,462.41x = 20,197.74 × 6,893.21
  4. Step 4: Simplify right side
    13,462.41x = 139,227,162.36
  5. Step 5: Solve for x
    x = 139,227,162.36/13,462.41
  6. Step 6: Final answer
    x = 10,341.92

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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.