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Finding the Fourth Proportional to 24,119.78, 33,282.74 and 13,364.34

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Solution

The fourth proportional to 24,119.78, 33,282.74 and 13,364.34 is: 18,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119.78 : 33,282.74 = 13,364.34 : x
  2. Step 2: Convert to fraction form
    24,119.78/33,282.74 = 13,364.34/x
  3. Step 3: Cross multiply
    24,119.78x = 33,282.74 × 13,364.34
  4. Step 4: Simplify right side
    24,119.78x = 444,801,853.49
  5. Step 5: Solve for x
    x = 444,801,853.49/24,119.78
  6. Step 6: Final answer
    x = 18,441.37

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