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Finding the Fourth Proportional to 21,161.68, 31,764.86 and 20,685.10

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Solution

The fourth proportional to 21,161.68, 31,764.86 and 20,685.10 is: 31,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.68 : 31,764.86 = 20,685.10 : x
  2. Step 2: Convert to fraction form
    21,161.68/31,764.86 = 20,685.10/x
  3. Step 3: Cross multiply
    21,161.68x = 31,764.86 × 20,685.10
  4. Step 4: Simplify right side
    21,161.68x = 657,059,305.59
  5. Step 5: Solve for x
    x = 657,059,305.59/21,161.68
  6. Step 6: Final answer
    x = 31,049.49

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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.