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Finding the Fourth Proportional to 21,283.44, 31,904.52 and 11,928

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Solution

The fourth proportional to 21,283.44, 31,904.52 and 11,928 is: 17,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.44 : 31,904.52 = 11,928 : x
  2. Step 2: Convert to fraction form
    21,283.44/31,904.52 = 11,928/x
  3. Step 3: Cross multiply
    21,283.44x = 31,904.52 × 11,928
  4. Step 4: Simplify right side
    21,283.44x = 380,557,114.56
  5. Step 5: Solve for x
    x = 380,557,114.56/21,283.44
  6. Step 6: Final answer
    x = 17,880.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.