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Finding the Fourth Proportional to 13,605.68, 18,786.72 and 9,133.44

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Solution

The fourth proportional to 13,605.68, 18,786.72 and 9,133.44 is: 12,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.68 : 18,786.72 = 9,133.44 : x
  2. Step 2: Convert to fraction form
    13,605.68/18,786.72 = 9,133.44/x
  3. Step 3: Cross multiply
    13,605.68x = 18,786.72 × 9,133.44
  4. Step 4: Simplify right side
    13,605.68x = 171,587,379.92
  5. Step 5: Solve for x
    x = 171,587,379.92/13,605.68
  6. Step 6: Final answer
    x = 12,611.45

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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.