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Finding the Fourth Proportional to 29,684.21, 40,949.35 and 17,744.40

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Solution

The fourth proportional to 29,684.21, 40,949.35 and 17,744.40 is: 24,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.21 : 40,949.35 = 17,744.40 : x
  2. Step 2: Convert to fraction form
    29,684.21/40,949.35 = 17,744.40/x
  3. Step 3: Cross multiply
    29,684.21x = 40,949.35 × 17,744.40
  4. Step 4: Simplify right side
    29,684.21x = 726,621,601.78
  5. Step 5: Solve for x
    x = 726,621,601.78/29,684.21
  6. Step 6: Final answer
    x = 24,478.39

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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.