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Finding the Fourth Proportional to 16,076.49, 24,105.69 and 6,706.41

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Solution

The fourth proportional to 16,076.49, 24,105.69 and 6,706.41 is: 10,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.49 : 24,105.69 = 6,706.41 : x
  2. Step 2: Convert to fraction form
    16,076.49/24,105.69 = 6,706.41/x
  3. Step 3: Cross multiply
    16,076.49x = 24,105.69 × 6,706.41
  4. Step 4: Simplify right side
    16,076.49x = 161,662,640.47
  5. Step 5: Solve for x
    x = 161,662,640.47/16,076.49
  6. Step 6: Final answer
    x = 10,055.84

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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.