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Finding the Fourth Proportional to 19,796.09, 29,696.08 and 5,756.23

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Solution

The fourth proportional to 19,796.09, 29,696.08 and 5,756.23 is: 8,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.09 : 29,696.08 = 5,756.23 : x
  2. Step 2: Convert to fraction form
    19,796.09/29,696.08 = 5,756.23/x
  3. Step 3: Cross multiply
    19,796.09x = 29,696.08 × 5,756.23
  4. Step 4: Simplify right side
    19,796.09x = 170,937,377.95
  5. Step 5: Solve for x
    x = 170,937,377.95/19,796.09
  6. Step 6: Final answer
    x = 8,634.90

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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.