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Finding the Fourth Proportional to 16,514.40, 22,800.24 and 11,814.24

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Solution

The fourth proportional to 16,514.40, 22,800.24 and 11,814.24 is: 16,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.40 : 22,800.24 = 11,814.24 : x
  2. Step 2: Convert to fraction form
    16,514.40/22,800.24 = 11,814.24/x
  3. Step 3: Cross multiply
    16,514.40x = 22,800.24 × 11,814.24
  4. Step 4: Simplify right side
    16,514.40x = 269,367,507.42
  5. Step 5: Solve for x
    x = 269,367,507.42/16,514.40
  6. Step 6: Final answer
    x = 16,311.07

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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.