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Finding the Fourth Proportional to 24,009.78, 33,133.50 and 13,940.28

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Solution

The fourth proportional to 24,009.78, 33,133.50 and 13,940.28 is: 19,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.78 : 33,133.50 = 13,940.28 : x
  2. Step 2: Convert to fraction form
    24,009.78/33,133.50 = 13,940.28/x
  3. Step 3: Cross multiply
    24,009.78x = 33,133.50 × 13,940.28
  4. Step 4: Simplify right side
    24,009.78x = 461,890,267.38
  5. Step 5: Solve for x
    x = 461,890,267.38/24,009.78
  6. Step 6: Final answer
    x = 19,237.59

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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.