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Finding the Fourth Proportional to 16,768.14, 23,142.04 and 10,057.46

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Solution

The fourth proportional to 16,768.14, 23,142.04 and 10,057.46 is: 13,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.14 : 23,142.04 = 10,057.46 : x
  2. Step 2: Convert to fraction form
    16,768.14/23,142.04 = 10,057.46/x
  3. Step 3: Cross multiply
    16,768.14x = 23,142.04 × 10,057.46
  4. Step 4: Simplify right side
    16,768.14x = 232,750,141.62
  5. Step 5: Solve for x
    x = 232,750,141.62/16,768.14
  6. Step 6: Final answer
    x = 13,880.50

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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.