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Finding the Fourth Proportional to 20,029.86, 27,636.93 and 11,641.86

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Solution

The fourth proportional to 20,029.86, 27,636.93 and 11,641.86 is: 16,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.86 : 27,636.93 = 11,641.86 : x
  2. Step 2: Convert to fraction form
    20,029.86/27,636.93 = 11,641.86/x
  3. Step 3: Cross multiply
    20,029.86x = 27,636.93 × 11,641.86
  4. Step 4: Simplify right side
    20,029.86x = 321,745,269.89
  5. Step 5: Solve for x
    x = 321,745,269.89/20,029.86
  6. Step 6: Final answer
    x = 16,063.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.