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Finding the Fourth Proportional to 16,876.21, 25,313.68 and 5,189.13

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Solution

The fourth proportional to 16,876.21, 25,313.68 and 5,189.13 is: 7,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.21 : 25,313.68 = 5,189.13 : x
  2. Step 2: Convert to fraction form
    16,876.21/25,313.68 = 5,189.13/x
  3. Step 3: Cross multiply
    16,876.21x = 25,313.68 × 5,189.13
  4. Step 4: Simplify right side
    16,876.21x = 131,355,976.30
  5. Step 5: Solve for x
    x = 131,355,976.30/16,876.21
  6. Step 6: Final answer
    x = 7,783.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.