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Finding the Fourth Proportional to 19,696.75, 29,512.23 and 13,842.88

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Solution

The fourth proportional to 19,696.75, 29,512.23 and 13,842.88 is: 20,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.75 : 29,512.23 = 13,842.88 : x
  2. Step 2: Convert to fraction form
    19,696.75/29,512.23 = 13,842.88/x
  3. Step 3: Cross multiply
    19,696.75x = 29,512.23 × 13,842.88
  4. Step 4: Simplify right side
    19,696.75x = 408,534,258.42
  5. Step 5: Solve for x
    x = 408,534,258.42/19,696.75
  6. Step 6: Final answer
    x = 20,741.20

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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.