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Finding the Fourth Proportional to 13,969.76, 20,943.12 and 5,756

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Solution

The fourth proportional to 13,969.76, 20,943.12 and 5,756 is: 8,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.76 : 20,943.12 = 5,756 : x
  2. Step 2: Convert to fraction form
    13,969.76/20,943.12 = 5,756/x
  3. Step 3: Cross multiply
    13,969.76x = 20,943.12 × 5,756
  4. Step 4: Simplify right side
    13,969.76x = 120,548,598.72
  5. Step 5: Solve for x
    x = 120,548,598.72/13,969.76
  6. Step 6: Final answer
    x = 8,629.25

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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.