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Finding the Fourth Proportional to 18,537.72, 27,810.30 and 8,149.48

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Solution

The fourth proportional to 18,537.72, 27,810.30 and 8,149.48 is: 12,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.72 : 27,810.30 = 8,149.48 : x
  2. Step 2: Convert to fraction form
    18,537.72/27,810.30 = 8,149.48/x
  3. Step 3: Cross multiply
    18,537.72x = 27,810.30 × 8,149.48
  4. Step 4: Simplify right side
    18,537.72x = 226,639,483.64
  5. Step 5: Solve for x
    x = 226,639,483.64/18,537.72
  6. Step 6: Final answer
    x = 12,225.86

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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.