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Finding the Fourth Proportional to 24,016, 33,138.78 and 13,942.84

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Solution

The fourth proportional to 24,016, 33,138.78 and 13,942.84 is: 19,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016 : 33,138.78 = 13,942.84 : x
  2. Step 2: Convert to fraction form
    24,016/33,138.78 = 13,942.84/x
  3. Step 3: Cross multiply
    24,016x = 33,138.78 × 13,942.84
  4. Step 4: Simplify right side
    24,016x = 462,048,707.34
  5. Step 5: Solve for x
    x = 462,048,707.34/24,016
  6. Step 6: Final answer
    x = 19,239.20

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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.