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Finding the Fourth Proportional to 14,613.50, 20,170.23 and 8,947.21

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Solution

The fourth proportional to 14,613.50, 20,170.23 and 8,947.21 is: 12,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.50 : 20,170.23 = 8,947.21 : x
  2. Step 2: Convert to fraction form
    14,613.50/20,170.23 = 8,947.21/x
  3. Step 3: Cross multiply
    14,613.50x = 20,170.23 × 8,947.21
  4. Step 4: Simplify right side
    14,613.50x = 180,467,287.73
  5. Step 5: Solve for x
    x = 180,467,287.73/14,613.50
  6. Step 6: Final answer
    x = 12,349.36

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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.