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Finding the Fourth Proportional to 13,178.56, 18,185.70 and 7,209.04

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Solution

The fourth proportional to 13,178.56, 18,185.70 and 7,209.04 is: 9,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.56 : 18,185.70 = 7,209.04 : x
  2. Step 2: Convert to fraction form
    13,178.56/18,185.70 = 7,209.04/x
  3. Step 3: Cross multiply
    13,178.56x = 18,185.70 × 7,209.04
  4. Step 4: Simplify right side
    13,178.56x = 131,101,438.73
  5. Step 5: Solve for x
    x = 131,101,438.73/13,178.56
  6. Step 6: Final answer
    x = 9,948.09

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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.