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Finding the Fourth Proportional to 24,120.78, 33,289.14 and 13,912.22

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Solution

The fourth proportional to 24,120.78, 33,289.14 and 13,912.22 is: 19,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120.78 : 33,289.14 = 13,912.22 : x
  2. Step 2: Convert to fraction form
    24,120.78/33,289.14 = 13,912.22/x
  3. Step 3: Cross multiply
    24,120.78x = 33,289.14 × 13,912.22
  4. Step 4: Simplify right side
    24,120.78x = 463,125,672.85
  5. Step 5: Solve for x
    x = 463,125,672.85/24,120.78
  6. Step 6: Final answer
    x = 19,200.28

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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.