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Finding the Fourth Proportional to 17,281.50, 25,928.33 and 8,522.57

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Solution

The fourth proportional to 17,281.50, 25,928.33 and 8,522.57 is: 12,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.50 : 25,928.33 = 8,522.57 : x
  2. Step 2: Convert to fraction form
    17,281.50/25,928.33 = 8,522.57/x
  3. Step 3: Cross multiply
    17,281.50x = 25,928.33 × 8,522.57
  4. Step 4: Simplify right side
    17,281.50x = 220,975,835.15
  5. Step 5: Solve for x
    x = 220,975,835.15/17,281.50
  6. Step 6: Final answer
    x = 12,786.84

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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.