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Finding the Fourth Proportional to 17,213.10, 23,752.13 and 9,658.41

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Solution

The fourth proportional to 17,213.10, 23,752.13 and 9,658.41 is: 13,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.10 : 23,752.13 = 9,658.41 : x
  2. Step 2: Convert to fraction form
    17,213.10/23,752.13 = 9,658.41/x
  3. Step 3: Cross multiply
    17,213.10x = 23,752.13 × 9,658.41
  4. Step 4: Simplify right side
    17,213.10x = 229,407,761.62
  5. Step 5: Solve for x
    x = 229,407,761.62/17,213.10
  6. Step 6: Final answer
    x = 13,327.51

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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.