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Finding the Fourth Proportional to 16,871.65, 25,290.53 and 5,770.75

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Solution

The fourth proportional to 16,871.65, 25,290.53 and 5,770.75 is: 8,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.65 : 25,290.53 = 5,770.75 : x
  2. Step 2: Convert to fraction form
    16,871.65/25,290.53 = 5,770.75/x
  3. Step 3: Cross multiply
    16,871.65x = 25,290.53 × 5,770.75
  4. Step 4: Simplify right side
    16,871.65x = 145,945,170.69
  5. Step 5: Solve for x
    x = 145,945,170.69/16,871.65
  6. Step 6: Final answer
    x = 8,650.32

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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.