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Finding the Fourth Proportional to 13,969.50, 20,957.00 and 6,178.32

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Solution

The fourth proportional to 13,969.50, 20,957.00 and 6,178.32 is: 9,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.50 : 20,957.00 = 6,178.32 : x
  2. Step 2: Convert to fraction form
    13,969.50/20,957.00 = 6,178.32/x
  3. Step 3: Cross multiply
    13,969.50x = 20,957.00 × 6,178.32
  4. Step 4: Simplify right side
    13,969.50x = 129,479,021.35
  5. Step 5: Solve for x
    x = 129,479,021.35/13,969.50
  6. Step 6: Final answer
    x = 9,268.69

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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.