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Finding the Fourth Proportional to 20,251, 27,943.76 and 11,636.96

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Solution

The fourth proportional to 20,251, 27,943.76 and 11,636.96 is: 16,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251 : 27,943.76 = 11,636.96 : x
  2. Step 2: Convert to fraction form
    20,251/27,943.76 = 11,636.96/x
  3. Step 3: Cross multiply
    20,251x = 27,943.76 × 11,636.96
  4. Step 4: Simplify right side
    20,251x = 325,180,417.37
  5. Step 5: Solve for x
    x = 325,180,417.37/20,251
  6. Step 6: Final answer
    x = 16,057.50

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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.