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Finding the Fourth Proportional to 14,666.26, 20,234.12 and 9,633.21

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Solution

The fourth proportional to 14,666.26, 20,234.12 and 9,633.21 is: 13,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.26 : 20,234.12 = 9,633.21 : x
  2. Step 2: Convert to fraction form
    14,666.26/20,234.12 = 9,633.21/x
  3. Step 3: Cross multiply
    14,666.26x = 20,234.12 × 9,633.21
  4. Step 4: Simplify right side
    14,666.26x = 194,919,527.13
  5. Step 5: Solve for x
    x = 194,919,527.13/14,666.26
  6. Step 6: Final answer
    x = 13,290.34

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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.