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Finding the Fourth Proportional to 20,118.84, 27,761.67 and 11,165.46

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Solution

The fourth proportional to 20,118.84, 27,761.67 and 11,165.46 is: 15,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.84 : 27,761.67 = 11,165.46 : x
  2. Step 2: Convert to fraction form
    20,118.84/27,761.67 = 11,165.46/x
  3. Step 3: Cross multiply
    20,118.84x = 27,761.67 × 11,165.46
  4. Step 4: Simplify right side
    20,118.84x = 309,971,815.92
  5. Step 5: Solve for x
    x = 309,971,815.92/20,118.84
  6. Step 6: Final answer
    x = 15,407.04

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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.