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Finding the Fourth Proportional to 14,666.98, 20,234.10 and 9,286.80

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Solution

The fourth proportional to 14,666.98, 20,234.10 and 9,286.80 is: 12,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.98 : 20,234.10 = 9,286.80 : x
  2. Step 2: Convert to fraction form
    14,666.98/20,234.10 = 9,286.80/x
  3. Step 3: Cross multiply
    14,666.98x = 20,234.10 × 9,286.80
  4. Step 4: Simplify right side
    14,666.98x = 187,910,039.88
  5. Step 5: Solve for x
    x = 187,910,039.88/14,666.98
  6. Step 6: Final answer
    x = 12,811.77

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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.