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Finding the Fourth Proportional to 13,206.57, 18,225.08 and 7,238.27

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Solution

The fourth proportional to 13,206.57, 18,225.08 and 7,238.27 is: 9,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.57 : 18,225.08 = 7,238.27 : x
  2. Step 2: Convert to fraction form
    13,206.57/18,225.08 = 7,238.27/x
  3. Step 3: Cross multiply
    13,206.57x = 18,225.08 × 7,238.27
  4. Step 4: Simplify right side
    13,206.57x = 131,917,922.49
  5. Step 5: Solve for x
    x = 131,917,922.49/13,206.57
  6. Step 6: Final answer
    x = 9,988.81

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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.