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Finding the Fourth Proportional to 21,514.88, 29,690.46 and 11,954.73

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Solution

The fourth proportional to 21,514.88, 29,690.46 and 11,954.73 is: 16,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.88 : 29,690.46 = 11,954.73 : x
  2. Step 2: Convert to fraction form
    21,514.88/29,690.46 = 11,954.73/x
  3. Step 3: Cross multiply
    21,514.88x = 29,690.46 × 11,954.73
  4. Step 4: Simplify right side
    21,514.88x = 354,941,399.62
  5. Step 5: Solve for x
    x = 354,941,399.62/21,514.88
  6. Step 6: Final answer
    x = 16,497.49

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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.