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Finding the Fourth Proportional to 16,202.83, 24,313.81 and 6,842.24

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Solution

The fourth proportional to 16,202.83, 24,313.81 and 6,842.24 is: 10,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.83 : 24,313.81 = 6,842.24 : x
  2. Step 2: Convert to fraction form
    16,202.83/24,313.81 = 6,842.24/x
  3. Step 3: Cross multiply
    16,202.83x = 24,313.81 × 6,842.24
  4. Step 4: Simplify right side
    16,202.83x = 166,360,923.33
  5. Step 5: Solve for x
    x = 166,360,923.33/16,202.83
  6. Step 6: Final answer
    x = 10,267.40

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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.