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Finding the Fourth Proportional to 14,733.21, 22,103.87 and 6,829.23

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Solution

The fourth proportional to 14,733.21, 22,103.87 and 6,829.23 is: 10,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.21 : 22,103.87 = 6,829.23 : x
  2. Step 2: Convert to fraction form
    14,733.21/22,103.87 = 6,829.23/x
  3. Step 3: Cross multiply
    14,733.21x = 22,103.87 × 6,829.23
  4. Step 4: Simplify right side
    14,733.21x = 150,952,377.97
  5. Step 5: Solve for x
    x = 150,952,377.97/14,733.21
  6. Step 6: Final answer
    x = 10,245.72

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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.