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Finding the Fourth Proportional to 14,514.92, 21,772.39 and 11,611.68

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Solution

The fourth proportional to 14,514.92, 21,772.39 and 11,611.68 is: 17,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.92 : 21,772.39 = 11,611.68 : x
  2. Step 2: Convert to fraction form
    14,514.92/21,772.39 = 11,611.68/x
  3. Step 3: Cross multiply
    14,514.92x = 21,772.39 × 11,611.68
  4. Step 4: Simplify right side
    14,514.92x = 252,814,025.52
  5. Step 5: Solve for x
    x = 252,814,025.52/14,514.92
  6. Step 6: Final answer
    x = 17,417.53

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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.