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Finding the Fourth Proportional to 12,687.72, 18,984.06 and 12,021

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Solution

The fourth proportional to 12,687.72, 18,984.06 and 12,021 is: 17,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.72 : 18,984.06 = 12,021 : x
  2. Step 2: Convert to fraction form
    12,687.72/18,984.06 = 12,021/x
  3. Step 3: Cross multiply
    12,687.72x = 18,984.06 × 12,021
  4. Step 4: Simplify right side
    12,687.72x = 228,207,385.26
  5. Step 5: Solve for x
    x = 228,207,385.26/12,687.72
  6. Step 6: Final answer
    x = 17,986.48

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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.