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Finding the Fourth Proportional to 23,928, 33,020.64 and 13,992

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Solution

The fourth proportional to 23,928, 33,020.64 and 13,992 is: 19,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 33,020.64 = 13,992 : x
  2. Step 2: Convert to fraction form
    23,928/33,020.64 = 13,992/x
  3. Step 3: Cross multiply
    23,928x = 33,020.64 × 13,992
  4. Step 4: Simplify right side
    23,928x = 462,024,794.88
  5. Step 5: Solve for x
    x = 462,024,794.88/23,928
  6. Step 6: Final answer
    x = 19,308.96

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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.