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Finding the Fourth Proportional to 16,270.75, 22,453.77 and 8,818.75

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Solution

The fourth proportional to 16,270.75, 22,453.77 and 8,818.75 is: 12,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.75 : 22,453.77 = 8,818.75 : x
  2. Step 2: Convert to fraction form
    16,270.75/22,453.77 = 8,818.75/x
  3. Step 3: Cross multiply
    16,270.75x = 22,453.77 × 8,818.75
  4. Step 4: Simplify right side
    16,270.75x = 198,014,184.19
  5. Step 5: Solve for x
    x = 198,014,184.19/16,270.75
  6. Step 6: Final answer
    x = 12,169.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.