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Finding the Fourth Proportional to 15,997.50, 23,995.98 and 13,198.14

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Solution

The fourth proportional to 15,997.50, 23,995.98 and 13,198.14 is: 19,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 23,995.98 = 13,198.14 : x
  2. Step 2: Convert to fraction form
    15,997.50/23,995.98 = 13,198.14/x
  3. Step 3: Cross multiply
    15,997.50x = 23,995.98 × 13,198.14
  4. Step 4: Simplify right side
    15,997.50x = 316,702,303.48
  5. Step 5: Solve for x
    x = 316,702,303.48/15,997.50
  6. Step 6: Final answer
    x = 19,796.99

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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.