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Finding the Fourth Proportional to 29,217.69, 43,791.93 and 13,409.40

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Solution

The fourth proportional to 29,217.69, 43,791.93 and 13,409.40 is: 20,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217.69 : 43,791.93 = 13,409.40 : x
  2. Step 2: Convert to fraction form
    29,217.69/43,791.93 = 13,409.40/x
  3. Step 3: Cross multiply
    29,217.69x = 43,791.93 × 13,409.40
  4. Step 4: Simplify right side
    29,217.69x = 587,223,506.14
  5. Step 5: Solve for x
    x = 587,223,506.14/29,217.69
  6. Step 6: Final answer
    x = 20,098.22

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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.