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Finding the Fourth Proportional to 20,038.50, 27,650.85 and 11,084.76

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Solution

The fourth proportional to 20,038.50, 27,650.85 and 11,084.76 is: 15,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.50 : 27,650.85 = 11,084.76 : x
  2. Step 2: Convert to fraction form
    20,038.50/27,650.85 = 11,084.76/x
  3. Step 3: Cross multiply
    20,038.50x = 27,650.85 × 11,084.76
  4. Step 4: Simplify right side
    20,038.50x = 306,503,036.05
  5. Step 5: Solve for x
    x = 306,503,036.05/20,038.50
  6. Step 6: Final answer
    x = 15,295.71

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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.