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Finding the Fourth Proportional to 20,148.68, 27,797.21 and 11,649.24

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Solution

The fourth proportional to 20,148.68, 27,797.21 and 11,649.24 is: 16,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.68 : 27,797.21 = 11,649.24 : x
  2. Step 2: Convert to fraction form
    20,148.68/27,797.21 = 11,649.24/x
  3. Step 3: Cross multiply
    20,148.68x = 27,797.21 × 11,649.24
  4. Step 4: Simplify right side
    20,148.68x = 323,816,370.62
  5. Step 5: Solve for x
    x = 323,816,370.62/20,148.68
  6. Step 6: Final answer
    x = 16,071.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.