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Finding the Fourth Proportional to 30,214.39, 41,696.58 and 16,786.21

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Solution

The fourth proportional to 30,214.39, 41,696.58 and 16,786.21 is: 23,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.39 : 41,696.58 = 16,786.21 : x
  2. Step 2: Convert to fraction form
    30,214.39/41,696.58 = 16,786.21/x
  3. Step 3: Cross multiply
    30,214.39x = 41,696.58 × 16,786.21
  4. Step 4: Simplify right side
    30,214.39x = 699,927,506.87
  5. Step 5: Solve for x
    x = 699,927,506.87/30,214.39
  6. Step 6: Final answer
    x = 23,165.37

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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.