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Finding the Fourth Proportional to 19,673.97, 29,506.32 and 5,633.79

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Solution

The fourth proportional to 19,673.97, 29,506.32 and 5,633.79 is: 8,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.97 : 29,506.32 = 5,633.79 : x
  2. Step 2: Convert to fraction form
    19,673.97/29,506.32 = 5,633.79/x
  3. Step 3: Cross multiply
    19,673.97x = 29,506.32 × 5,633.79
  4. Step 4: Simplify right side
    19,673.97x = 166,232,410.55
  5. Step 5: Solve for x
    x = 166,232,410.55/19,673.97
  6. Step 6: Final answer
    x = 8,449.36

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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.