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Finding the Fourth Proportional to 13,537.33, 20,282.76 and 12,167.77

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Solution

The fourth proportional to 13,537.33, 20,282.76 and 12,167.77 is: 18,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.33 : 20,282.76 = 12,167.77 : x
  2. Step 2: Convert to fraction form
    13,537.33/20,282.76 = 12,167.77/x
  3. Step 3: Cross multiply
    13,537.33x = 20,282.76 × 12,167.77
  4. Step 4: Simplify right side
    13,537.33x = 246,795,958.65
  5. Step 5: Solve for x
    x = 246,795,958.65/13,537.33
  6. Step 6: Final answer
    x = 18,230.77

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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.