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Finding the Fourth Proportional to 16,481.40, 24,722.10 and 16,116.90

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Solution

The fourth proportional to 16,481.40, 24,722.10 and 16,116.90 is: 24,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.40 : 24,722.10 = 16,116.90 : x
  2. Step 2: Convert to fraction form
    16,481.40/24,722.10 = 16,116.90/x
  3. Step 3: Cross multiply
    16,481.40x = 24,722.10 × 16,116.90
  4. Step 4: Simplify right side
    16,481.40x = 398,443,613.49
  5. Step 5: Solve for x
    x = 398,443,613.49/16,481.40
  6. Step 6: Final answer
    x = 24,175.35

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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.