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Finding the Fourth Proportional to 27,817.56, 41,697.18 and 13,014

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Solution

The fourth proportional to 27,817.56, 41,697.18 and 13,014 is: 19,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.56 : 41,697.18 = 13,014 : x
  2. Step 2: Convert to fraction form
    27,817.56/41,697.18 = 13,014/x
  3. Step 3: Cross multiply
    27,817.56x = 41,697.18 × 13,014
  4. Step 4: Simplify right side
    27,817.56x = 542,647,100.52
  5. Step 5: Solve for x
    x = 542,647,100.52/27,817.56
  6. Step 6: Final answer
    x = 19,507.36

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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.