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Finding the Fourth Proportional to 13,649.60, 20,467.68 and 4,414.40

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Solution

The fourth proportional to 13,649.60, 20,467.68 and 4,414.40 is: 6,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.60 : 20,467.68 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    13,649.60/20,467.68 = 4,414.40/x
  3. Step 3: Cross multiply
    13,649.60x = 20,467.68 × 4,414.40
  4. Step 4: Simplify right side
    13,649.60x = 90,352,526.59
  5. Step 5: Solve for x
    x = 90,352,526.59/13,649.60
  6. Step 6: Final answer
    x = 6,619.43

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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.