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Finding the Fourth Proportional to 13,649.13, 20,514.09 and 11,324.22

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Solution

The fourth proportional to 13,649.13, 20,514.09 and 11,324.22 is: 17,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.13 : 20,514.09 = 11,324.22 : x
  2. Step 2: Convert to fraction form
    13,649.13/20,514.09 = 11,324.22/x
  3. Step 3: Cross multiply
    13,649.13x = 20,514.09 × 11,324.22
  4. Step 4: Simplify right side
    13,649.13x = 232,306,068.26
  5. Step 5: Solve for x
    x = 232,306,068.26/13,649.13
  6. Step 6: Final answer
    x = 17,019.84

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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.