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Finding the Fourth Proportional to 24,283.90, 33,512.61 and 14,213.28

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Solution

The fourth proportional to 24,283.90, 33,512.61 and 14,213.28 is: 19,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283.90 : 33,512.61 = 14,213.28 : x
  2. Step 2: Convert to fraction form
    24,283.90/33,512.61 = 14,213.28/x
  3. Step 3: Cross multiply
    24,283.90x = 33,512.61 × 14,213.28
  4. Step 4: Simplify right side
    24,283.90x = 476,324,128.48
  5. Step 5: Solve for x
    x = 476,324,128.48/24,283.90
  6. Step 6: Final answer
    x = 19,614.81

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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.