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Finding the Fourth Proportional to 13,434.80, 20,127.90 and 8,234.60

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Solution

The fourth proportional to 13,434.80, 20,127.90 and 8,234.60 is: 12,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.80 : 20,127.90 = 8,234.60 : x
  2. Step 2: Convert to fraction form
    13,434.80/20,127.90 = 8,234.60/x
  3. Step 3: Cross multiply
    13,434.80x = 20,127.90 × 8,234.60
  4. Step 4: Simplify right side
    13,434.80x = 165,745,205.34
  5. Step 5: Solve for x
    x = 165,745,205.34/13,434.80
  6. Step 6: Final answer
    x = 12,337.01

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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.