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Finding the Fourth Proportional to 16,205.76, 22,363.94 and 8,753.76

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Solution

The fourth proportional to 16,205.76, 22,363.94 and 8,753.76 is: 12,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.76 : 22,363.94 = 8,753.76 : x
  2. Step 2: Convert to fraction form
    16,205.76/22,363.94 = 8,753.76/x
  3. Step 3: Cross multiply
    16,205.76x = 22,363.94 × 8,753.76
  4. Step 4: Simplify right side
    16,205.76x = 195,768,563.41
  5. Step 5: Solve for x
    x = 195,768,563.41/16,205.76
  6. Step 6: Final answer
    x = 12,080.18

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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.