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Finding the Fourth Proportional to 13,674, 20,511.44 and 4,314.10

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Solution

The fourth proportional to 13,674, 20,511.44 and 4,314.10 is: 6,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 20,511.44 = 4,314.10 : x
  2. Step 2: Convert to fraction form
    13,674/20,511.44 = 4,314.10/x
  3. Step 3: Cross multiply
    13,674x = 20,511.44 × 4,314.10
  4. Step 4: Simplify right side
    13,674x = 88,488,403.30
  5. Step 5: Solve for x
    x = 88,488,403.30/13,674
  6. Step 6: Final answer
    x = 6,471.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.