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Finding the Fourth Proportional to 16,495.15, 24,724.16 and 8,181.14

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Solution

The fourth proportional to 16,495.15, 24,724.16 and 8,181.14 is: 12,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.15 : 24,724.16 = 8,181.14 : x
  2. Step 2: Convert to fraction form
    16,495.15/24,724.16 = 8,181.14/x
  3. Step 3: Cross multiply
    16,495.15x = 24,724.16 × 8,181.14
  4. Step 4: Simplify right side
    16,495.15x = 202,271,680.50
  5. Step 5: Solve for x
    x = 202,271,680.50/16,495.15
  6. Step 6: Final answer
    x = 12,262.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.