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Finding the Fourth Proportional to 16,376.96, 24,568.49 and 5,282.49

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Solution

The fourth proportional to 16,376.96, 24,568.49 and 5,282.49 is: 7,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.96 : 24,568.49 = 5,282.49 : x
  2. Step 2: Convert to fraction form
    16,376.96/24,568.49 = 5,282.49/x
  3. Step 3: Cross multiply
    16,376.96x = 24,568.49 × 5,282.49
  4. Step 4: Simplify right side
    16,376.96x = 129,782,815.95
  5. Step 5: Solve for x
    x = 129,782,815.95/16,376.96
  6. Step 6: Final answer
    x = 7,924.72

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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.