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Finding the Fourth Proportional to 21,514.86, 29,682.21 and 15,863.05

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Solution

The fourth proportional to 21,514.86, 29,682.21 and 15,863.05 is: 21,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.86 : 29,682.21 = 15,863.05 : x
  2. Step 2: Convert to fraction form
    21,514.86/29,682.21 = 15,863.05/x
  3. Step 3: Cross multiply
    21,514.86x = 29,682.21 × 15,863.05
  4. Step 4: Simplify right side
    21,514.86x = 470,850,381.34
  5. Step 5: Solve for x
    x = 470,850,381.34/21,514.86
  6. Step 6: Final answer
    x = 21,884.89

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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.