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Finding the Fourth Proportional to 40,221.20, 60,329.64 and 10,640

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Solution

The fourth proportional to 40,221.20, 60,329.64 and 10,640 is: 15,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221.20 : 60,329.64 = 10,640 : x
  2. Step 2: Convert to fraction form
    40,221.20/60,329.64 = 10,640/x
  3. Step 3: Cross multiply
    40,221.20x = 60,329.64 × 10,640
  4. Step 4: Simplify right side
    40,221.20x = 641,907,369.60
  5. Step 5: Solve for x
    x = 641,907,369.60/40,221.20
  6. Step 6: Final answer
    x = 15,959.43

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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.