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Finding the Fourth Proportional to 29,962, 41,346.18 and 17,206.22

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Solution

The fourth proportional to 29,962, 41,346.18 and 17,206.22 is: 23,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 41,346.18 = 17,206.22 : x
  2. Step 2: Convert to fraction form
    29,962/41,346.18 = 17,206.22/x
  3. Step 3: Cross multiply
    29,962x = 41,346.18 × 17,206.22
  4. Step 4: Simplify right side
    29,962x = 711,411,469.24
  5. Step 5: Solve for x
    x = 711,411,469.24/29,962
  6. Step 6: Final answer
    x = 23,743.79

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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.