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Finding the Fourth Proportional to 16,769, 25,165.02 and 5,825

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Solution

The fourth proportional to 16,769, 25,165.02 and 5,825 is: 8,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 25,165.02 = 5,825 : x
  2. Step 2: Convert to fraction form
    16,769/25,165.02 = 5,825/x
  3. Step 3: Cross multiply
    16,769x = 25,165.02 × 5,825
  4. Step 4: Simplify right side
    16,769x = 146,586,241.50
  5. Step 5: Solve for x
    x = 146,586,241.50/16,769
  6. Step 6: Final answer
    x = 8,741.50

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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.