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Finding the Fourth Proportional to 22,796.28, 31,459.14 and 13,236.36

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Solution

The fourth proportional to 22,796.28, 31,459.14 and 13,236.36 is: 18,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.28 : 31,459.14 = 13,236.36 : x
  2. Step 2: Convert to fraction form
    22,796.28/31,459.14 = 13,236.36/x
  3. Step 3: Cross multiply
    22,796.28x = 31,459.14 × 13,236.36
  4. Step 4: Simplify right side
    22,796.28x = 416,404,502.33
  5. Step 5: Solve for x
    x = 416,404,502.33/22,796.28
  6. Step 6: Final answer
    x = 18,266.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.