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Finding the Fourth Proportional to 13,649.42, 18,790.70 and 13,022.48

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Solution

The fourth proportional to 13,649.42, 18,790.70 and 13,022.48 is: 17,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.42 : 18,790.70 = 13,022.48 : x
  2. Step 2: Convert to fraction form
    13,649.42/18,790.70 = 13,022.48/x
  3. Step 3: Cross multiply
    13,649.42x = 18,790.70 × 13,022.48
  4. Step 4: Simplify right side
    13,649.42x = 244,701,514.94
  5. Step 5: Solve for x
    x = 244,701,514.94/13,649.42
  6. Step 6: Final answer
    x = 17,927.61

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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.