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Finding the Fourth Proportional to 15,771.72, 21,763.38 and 8,697.96

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Solution

The fourth proportional to 15,771.72, 21,763.38 and 8,697.96 is: 12,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.72 : 21,763.38 = 8,697.96 : x
  2. Step 2: Convert to fraction form
    15,771.72/21,763.38 = 8,697.96/x
  3. Step 3: Cross multiply
    15,771.72x = 21,763.38 × 8,697.96
  4. Step 4: Simplify right side
    15,771.72x = 189,297,008.70
  5. Step 5: Solve for x
    x = 189,297,008.70/15,771.72
  6. Step 6: Final answer
    x = 12,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.