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Finding the Fourth Proportional to 17,131.48, 23,642.22 and 13,399

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Solution

The fourth proportional to 17,131.48, 23,642.22 and 13,399 is: 18,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.48 : 23,642.22 = 13,399 : x
  2. Step 2: Convert to fraction form
    17,131.48/23,642.22 = 13,399/x
  3. Step 3: Cross multiply
    17,131.48x = 23,642.22 × 13,399
  4. Step 4: Simplify right side
    17,131.48x = 316,782,105.78
  5. Step 5: Solve for x
    x = 316,782,105.78/17,131.48
  6. Step 6: Final answer
    x = 18,491.23

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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.