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Finding the Fourth Proportional to 20,053.21, 30,062.89 and 12,641.33

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Solution

The fourth proportional to 20,053.21, 30,062.89 and 12,641.33 is: 18,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.21 : 30,062.89 = 12,641.33 : x
  2. Step 2: Convert to fraction form
    20,053.21/30,062.89 = 12,641.33/x
  3. Step 3: Cross multiply
    20,053.21x = 30,062.89 × 12,641.33
  4. Step 4: Simplify right side
    20,053.21x = 380,034,913.24
  5. Step 5: Solve for x
    x = 380,034,913.24/20,053.21
  6. Step 6: Final answer
    x = 18,951.33

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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.