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Finding the Fourth Proportional to 21,323, 31,940.82 and 10,778.24

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Solution

The fourth proportional to 21,323, 31,940.82 and 10,778.24 is: 16,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323 : 31,940.82 = 10,778.24 : x
  2. Step 2: Convert to fraction form
    21,323/31,940.82 = 10,778.24/x
  3. Step 3: Cross multiply
    21,323x = 31,940.82 × 10,778.24
  4. Step 4: Simplify right side
    21,323x = 344,265,823.76
  5. Step 5: Solve for x
    x = 344,265,823.76/21,323
  6. Step 6: Final answer
    x = 16,145.28

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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.