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Finding the Fourth Proportional to 23,921.82, 33,008.82 and 13,309.38

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Solution

The fourth proportional to 23,921.82, 33,008.82 and 13,309.38 is: 18,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.82 : 33,008.82 = 13,309.38 : x
  2. Step 2: Convert to fraction form
    23,921.82/33,008.82 = 13,309.38/x
  3. Step 3: Cross multiply
    23,921.82x = 33,008.82 × 13,309.38
  4. Step 4: Simplify right side
    23,921.82x = 439,326,928.73
  5. Step 5: Solve for x
    x = 439,326,928.73/23,921.82
  6. Step 6: Final answer
    x = 18,365.11

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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.