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Finding the Fourth Proportional to 16,083.16, 22,194.11 and 8,913.18

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Solution

The fourth proportional to 16,083.16, 22,194.11 and 8,913.18 is: 12,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.16 : 22,194.11 = 8,913.18 : x
  2. Step 2: Convert to fraction form
    16,083.16/22,194.11 = 8,913.18/x
  3. Step 3: Cross multiply
    16,083.16x = 22,194.11 × 8,913.18
  4. Step 4: Simplify right side
    16,083.16x = 197,820,152.99
  5. Step 5: Solve for x
    x = 197,820,152.99/16,083.16
  6. Step 6: Final answer
    x = 12,299.83

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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.