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Finding the Fourth Proportional to 34,514.64, 51,761.94 and 13,449.98

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Solution

The fourth proportional to 34,514.64, 51,761.94 and 13,449.98 is: 20,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514.64 : 51,761.94 = 13,449.98 : x
  2. Step 2: Convert to fraction form
    34,514.64/51,761.94 = 13,449.98/x
  3. Step 3: Cross multiply
    34,514.64x = 51,761.94 × 13,449.98
  4. Step 4: Simplify right side
    34,514.64x = 696,197,136.73
  5. Step 5: Solve for x
    x = 696,197,136.73/34,514.64
  6. Step 6: Final answer
    x = 20,171.07

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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.