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Finding the Fourth Proportional to 16,220.56, 22,394.10 and 14,539

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Solution

The fourth proportional to 16,220.56, 22,394.10 and 14,539 is: 20,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.56 : 22,394.10 = 14,539 : x
  2. Step 2: Convert to fraction form
    16,220.56/22,394.10 = 14,539/x
  3. Step 3: Cross multiply
    16,220.56x = 22,394.10 × 14,539
  4. Step 4: Simplify right side
    16,220.56x = 325,587,819.90
  5. Step 5: Solve for x
    x = 325,587,819.90/16,220.56
  6. Step 6: Final answer
    x = 20,072.54

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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.