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Finding the Fourth Proportional to 29,946.60, 41,323.02 and 16,517

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Solution

The fourth proportional to 29,946.60, 41,323.02 and 16,517 is: 22,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946.60 : 41,323.02 = 16,517 : x
  2. Step 2: Convert to fraction form
    29,946.60/41,323.02 = 16,517/x
  3. Step 3: Cross multiply
    29,946.60x = 41,323.02 × 16,517
  4. Step 4: Simplify right side
    29,946.60x = 682,532,321.34
  5. Step 5: Solve for x
    x = 682,532,321.34/29,946.60
  6. Step 6: Final answer
    x = 22,791.65

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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.