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Finding the Fourth Proportional to 15,682.56, 21,640.50 and 8,967.96

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Solution

The fourth proportional to 15,682.56, 21,640.50 and 8,967.96 is: 12,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.56 : 21,640.50 = 8,967.96 : x
  2. Step 2: Convert to fraction form
    15,682.56/21,640.50 = 8,967.96/x
  3. Step 3: Cross multiply
    15,682.56x = 21,640.50 × 8,967.96
  4. Step 4: Simplify right side
    15,682.56x = 194,071,138.38
  5. Step 5: Solve for x
    x = 194,071,138.38/15,682.56
  6. Step 6: Final answer
    x = 12,374.97

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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.