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Finding the Fourth Proportional to 21,871.85, 32,822.26 and 12,018

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Solution

The fourth proportional to 21,871.85, 32,822.26 and 12,018 is: 18,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.85 : 32,822.26 = 12,018 : x
  2. Step 2: Convert to fraction form
    21,871.85/32,822.26 = 12,018/x
  3. Step 3: Cross multiply
    21,871.85x = 32,822.26 × 12,018
  4. Step 4: Simplify right side
    21,871.85x = 394,457,890.64
  5. Step 5: Solve for x
    x = 394,457,890.64/21,871.85
  6. Step 6: Final answer
    x = 18,034.96

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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.