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Finding the Fourth Proportional to 21,283.43, 31,915.76 and 7,951.23

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Solution

The fourth proportional to 21,283.43, 31,915.76 and 7,951.23 is: 11,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.43 : 31,915.76 = 7,951.23 : x
  2. Step 2: Convert to fraction form
    21,283.43/31,915.76 = 7,951.23/x
  3. Step 3: Cross multiply
    21,283.43x = 31,915.76 × 7,951.23
  4. Step 4: Simplify right side
    21,283.43x = 253,769,508.63
  5. Step 5: Solve for x
    x = 253,769,508.63/21,283.43
  6. Step 6: Final answer
    x = 11,923.34

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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.