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Finding the Fourth Proportional to 16,823.45, 25,229.10 and 8,500.70

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Solution

The fourth proportional to 16,823.45, 25,229.10 and 8,500.70 is: 12,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.45 : 25,229.10 = 8,500.70 : x
  2. Step 2: Convert to fraction form
    16,823.45/25,229.10 = 8,500.70/x
  3. Step 3: Cross multiply
    16,823.45x = 25,229.10 × 8,500.70
  4. Step 4: Simplify right side
    16,823.45x = 214,465,010.37
  5. Step 5: Solve for x
    x = 214,465,010.37/16,823.45
  6. Step 6: Final answer
    x = 12,747.98

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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.