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Finding the Fourth Proportional to 16,257.84, 24,375.66 and 7,819.89

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Solution

The fourth proportional to 16,257.84, 24,375.66 and 7,819.89 is: 11,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.84 : 24,375.66 = 7,819.89 : x
  2. Step 2: Convert to fraction form
    16,257.84/24,375.66 = 7,819.89/x
  3. Step 3: Cross multiply
    16,257.84x = 24,375.66 × 7,819.89
  4. Step 4: Simplify right side
    16,257.84x = 190,614,979.88
  5. Step 5: Solve for x
    x = 190,614,979.88/16,257.84
  6. Step 6: Final answer
    x = 11,724.50

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1.5x scale

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.