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Finding the Fourth Proportional to 13,677.57, 20,514.06 and 3,814.56

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Solution

The fourth proportional to 13,677.57, 20,514.06 and 3,814.56 is: 5,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.57 : 20,514.06 = 3,814.56 : x
  2. Step 2: Convert to fraction form
    13,677.57/20,514.06 = 3,814.56/x
  3. Step 3: Cross multiply
    13,677.57x = 20,514.06 × 3,814.56
  4. Step 4: Simplify right side
    13,677.57x = 78,252,112.71
  5. Step 5: Solve for x
    x = 78,252,112.71/13,677.57
  6. Step 6: Final answer
    x = 5,721.20

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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.