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Finding the Fourth Proportional to 16,376.70, 24,548.85 and 8,049.90

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Solution

The fourth proportional to 16,376.70, 24,548.85 and 8,049.90 is: 12,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.70 : 24,548.85 = 8,049.90 : x
  2. Step 2: Convert to fraction form
    16,376.70/24,548.85 = 8,049.90/x
  3. Step 3: Cross multiply
    16,376.70x = 24,548.85 × 8,049.90
  4. Step 4: Simplify right side
    16,376.70x = 197,615,787.62
  5. Step 5: Solve for x
    x = 197,615,787.62/16,376.70
  6. Step 6: Final answer
    x = 12,066.89

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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.