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Finding the Fourth Proportional to 16,341.82, 24,515.46 and 6,481.22

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Solution

The fourth proportional to 16,341.82, 24,515.46 and 6,481.22 is: 9,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.82 : 24,515.46 = 6,481.22 : x
  2. Step 2: Convert to fraction form
    16,341.82/24,515.46 = 6,481.22/x
  3. Step 3: Cross multiply
    16,341.82x = 24,515.46 × 6,481.22
  4. Step 4: Simplify right side
    16,341.82x = 158,889,967.08
  5. Step 5: Solve for x
    x = 158,889,967.08/16,341.82
  6. Step 6: Final answer
    x = 9,722.91

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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.