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Finding the Fourth Proportional to 16,172.85, 22,310.36 and 9,454.09

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Solution

The fourth proportional to 16,172.85, 22,310.36 and 9,454.09 is: 13,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.85 : 22,310.36 = 9,454.09 : x
  2. Step 2: Convert to fraction form
    16,172.85/22,310.36 = 9,454.09/x
  3. Step 3: Cross multiply
    16,172.85x = 22,310.36 × 9,454.09
  4. Step 4: Simplify right side
    16,172.85x = 210,924,151.37
  5. Step 5: Solve for x
    x = 210,924,151.37/16,172.85
  6. Step 6: Final answer
    x = 13,041.87

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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.