Home / 24,142.24-36,201.36-10,098

Finding the Fourth Proportional to 24,142.24, 36,201.36 and 10,098

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Solution

The fourth proportional to 24,142.24, 36,201.36 and 10,098 is: 15,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.24 : 36,201.36 = 10,098 : x
  2. Step 2: Convert to fraction form
    24,142.24/36,201.36 = 10,098/x
  3. Step 3: Cross multiply
    24,142.24x = 36,201.36 × 10,098
  4. Step 4: Simplify right side
    24,142.24x = 365,561,333.28
  5. Step 5: Solve for x
    x = 365,561,333.28/24,142.24
  6. Step 6: Final answer
    x = 15,141.98

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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.