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Finding the Fourth Proportional to 16,514.10, 24,771.17 and 7,023.97

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Solution

The fourth proportional to 16,514.10, 24,771.17 and 7,023.97 is: 10,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.10 : 24,771.17 = 7,023.97 : x
  2. Step 2: Convert to fraction form
    16,514.10/24,771.17 = 7,023.97/x
  3. Step 3: Cross multiply
    16,514.10x = 24,771.17 × 7,023.97
  4. Step 4: Simplify right side
    16,514.10x = 173,991,954.94
  5. Step 5: Solve for x
    x = 173,991,954.94/16,514.10
  6. Step 6: Final answer
    x = 10,535.96

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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.