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Finding the Fourth Proportional to 14,573.75, 21,882.49 and 8,340.80

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Solution

The fourth proportional to 14,573.75, 21,882.49 and 8,340.80 is: 12,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.75 : 21,882.49 = 8,340.80 : x
  2. Step 2: Convert to fraction form
    14,573.75/21,882.49 = 8,340.80/x
  3. Step 3: Cross multiply
    14,573.75x = 21,882.49 × 8,340.80
  4. Step 4: Simplify right side
    14,573.75x = 182,517,342.33
  5. Step 5: Solve for x
    x = 182,517,342.33/14,573.75
  6. Step 6: Final answer
    x = 12,523.71

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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.