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Finding the Fourth Proportional to 16,823.30, 25,228.06 and 12,353.21

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Solution

The fourth proportional to 16,823.30, 25,228.06 and 12,353.21 is: 18,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.30 : 25,228.06 = 12,353.21 : x
  2. Step 2: Convert to fraction form
    16,823.30/25,228.06 = 12,353.21/x
  3. Step 3: Cross multiply
    16,823.30x = 25,228.06 × 12,353.21
  4. Step 4: Simplify right side
    16,823.30x = 311,647,460.65
  5. Step 5: Solve for x
    x = 311,647,460.65/16,823.30
  6. Step 6: Final answer
    x = 18,524.76

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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.