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Finding the Fourth Proportional to 13,969.72, 20,957.10 and 6,178.60

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Solution

The fourth proportional to 13,969.72, 20,957.10 and 6,178.60 is: 9,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.72 : 20,957.10 = 6,178.60 : x
  2. Step 2: Convert to fraction form
    13,969.72/20,957.10 = 6,178.60/x
  3. Step 3: Cross multiply
    13,969.72x = 20,957.10 × 6,178.60
  4. Step 4: Simplify right side
    13,969.72x = 129,485,538.06
  5. Step 5: Solve for x
    x = 129,485,538.06/13,969.72
  6. Step 6: Final answer
    x = 9,269.01

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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.