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Finding the Fourth Proportional to 20,205.67, 27,881.94 and 11,708.12

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Solution

The fourth proportional to 20,205.67, 27,881.94 and 11,708.12 is: 16,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.67 : 27,881.94 = 11,708.12 : x
  2. Step 2: Convert to fraction form
    20,205.67/27,881.94 = 11,708.12/x
  3. Step 3: Cross multiply
    20,205.67x = 27,881.94 × 11,708.12
  4. Step 4: Simplify right side
    20,205.67x = 326,445,099.35
  5. Step 5: Solve for x
    x = 326,445,099.35/20,205.67
  6. Step 6: Final answer
    x = 16,156.11

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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.