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Finding the Fourth Proportional to 20,252.50, 27,948.45 and 11,869

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Solution

The fourth proportional to 20,252.50, 27,948.45 and 11,869 is: 16,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.50 : 27,948.45 = 11,869 : x
  2. Step 2: Convert to fraction form
    20,252.50/27,948.45 = 11,869/x
  3. Step 3: Cross multiply
    20,252.50x = 27,948.45 × 11,869
  4. Step 4: Simplify right side
    20,252.50x = 331,720,153.05
  5. Step 5: Solve for x
    x = 331,720,153.05/20,252.50
  6. Step 6: Final answer
    x = 16,379.22

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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.