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Finding the Fourth Proportional to 27,459.50, 41,174.67 and 12,660.80

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Solution

The fourth proportional to 27,459.50, 41,174.67 and 12,660.80 is: 18,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.50 : 41,174.67 = 12,660.80 : x
  2. Step 2: Convert to fraction form
    27,459.50/41,174.67 = 12,660.80/x
  3. Step 3: Cross multiply
    27,459.50x = 41,174.67 × 12,660.80
  4. Step 4: Simplify right side
    27,459.50x = 521,304,261.94
  5. Step 5: Solve for x
    x = 521,304,261.94/27,459.50
  6. Step 6: Final answer
    x = 18,984.48

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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.