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Finding the Fourth Proportional to 20,107.47, 27,750.71 and 11,611.67

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Solution

The fourth proportional to 20,107.47, 27,750.71 and 11,611.67 is: 16,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.47 : 27,750.71 = 11,611.67 : x
  2. Step 2: Convert to fraction form
    20,107.47/27,750.71 = 11,611.67/x
  3. Step 3: Cross multiply
    20,107.47x = 27,750.71 × 11,611.67
  4. Step 4: Simplify right side
    20,107.47x = 322,231,977.06
  5. Step 5: Solve for x
    x = 322,231,977.06/20,107.47
  6. Step 6: Final answer
    x = 16,025.48

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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.