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Finding the Fourth Proportional to 16,594.68, 24,891.96 and 7,824.84

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Solution

The fourth proportional to 16,594.68, 24,891.96 and 7,824.84 is: 11,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.68 : 24,891.96 = 7,824.84 : x
  2. Step 2: Convert to fraction form
    16,594.68/24,891.96 = 7,824.84/x
  3. Step 3: Cross multiply
    16,594.68x = 24,891.96 × 7,824.84
  4. Step 4: Simplify right side
    16,594.68x = 194,775,604.29
  5. Step 5: Solve for x
    x = 194,775,604.29/16,594.68
  6. Step 6: Final answer
    x = 11,737.23

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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.