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Finding the Fourth Proportional to 18,514.32, 27,782.76 and 6,667.10

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Solution

The fourth proportional to 18,514.32, 27,782.76 and 6,667.10 is: 10,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.32 : 27,782.76 = 6,667.10 : x
  2. Step 2: Convert to fraction form
    18,514.32/27,782.76 = 6,667.10/x
  3. Step 3: Cross multiply
    18,514.32x = 27,782.76 × 6,667.10
  4. Step 4: Simplify right side
    18,514.32x = 185,230,405.86
  5. Step 5: Solve for x
    x = 185,230,405.86/18,514.32
  6. Step 6: Final answer
    x = 10,004.71

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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.