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Finding the Fourth Proportional to 18,514.86, 27,784.17 and 6,828.18

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Solution

The fourth proportional to 18,514.86, 27,784.17 and 6,828.18 is: 10,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.86 : 27,784.17 = 6,828.18 : x
  2. Step 2: Convert to fraction form
    18,514.86/27,784.17 = 6,828.18/x
  3. Step 3: Cross multiply
    18,514.86x = 27,784.17 × 6,828.18
  4. Step 4: Simplify right side
    18,514.86x = 189,715,313.91
  5. Step 5: Solve for x
    x = 189,715,313.91/18,514.86
  6. Step 6: Final answer
    x = 10,246.65

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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.