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Finding the Fourth Proportional to 21,164.50, 31,757.14 and 8,513.74

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Solution

The fourth proportional to 21,164.50, 31,757.14 and 8,513.74 is: 12,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.50 : 31,757.14 = 8,513.74 : x
  2. Step 2: Convert to fraction form
    21,164.50/31,757.14 = 8,513.74/x
  3. Step 3: Cross multiply
    21,164.50x = 31,757.14 × 8,513.74
  4. Step 4: Simplify right side
    21,164.50x = 270,372,033.10
  5. Step 5: Solve for x
    x = 270,372,033.10/21,164.50
  6. Step 6: Final answer
    x = 12,774.79

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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.