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Finding the Fourth Proportional to 21,076.92, 31,633.12 and 10,543.78

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Solution

The fourth proportional to 21,076.92, 31,633.12 and 10,543.78 is: 15,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.92 : 31,633.12 = 10,543.78 : x
  2. Step 2: Convert to fraction form
    21,076.92/31,633.12 = 10,543.78/x
  3. Step 3: Cross multiply
    21,076.92x = 31,633.12 × 10,543.78
  4. Step 4: Simplify right side
    21,076.92x = 333,532,657.99
  5. Step 5: Solve for x
    x = 333,532,657.99/21,076.92
  6. Step 6: Final answer
    x = 15,824.54

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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.