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Finding the Fourth Proportional to 12,021.55, 16,586.89 and 6,982.78

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Solution

The fourth proportional to 12,021.55, 16,586.89 and 6,982.78 is: 9,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.55 : 16,586.89 = 6,982.78 : x
  2. Step 2: Convert to fraction form
    12,021.55/16,586.89 = 6,982.78/x
  3. Step 3: Cross multiply
    12,021.55x = 16,586.89 × 6,982.78
  4. Step 4: Simplify right side
    12,021.55x = 115,822,538.28
  5. Step 5: Solve for x
    x = 115,822,538.28/12,021.55
  6. Step 6: Final answer
    x = 9,634.58

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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.