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Finding the Fourth Proportional to 13,892.94, 20,841.78 and 5,127.90

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Solution

The fourth proportional to 13,892.94, 20,841.78 and 5,127.90 is: 7,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.94 : 20,841.78 = 5,127.90 : x
  2. Step 2: Convert to fraction form
    13,892.94/20,841.78 = 5,127.90/x
  3. Step 3: Cross multiply
    13,892.94x = 20,841.78 × 5,127.90
  4. Step 4: Simplify right side
    13,892.94x = 106,874,563.66
  5. Step 5: Solve for x
    x = 106,874,563.66/13,892.94
  6. Step 6: Final answer
    x = 7,692.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.