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Finding the Fourth Proportional to 16,096.62, 22,212.12 and 9,021.68

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Solution

The fourth proportional to 16,096.62, 22,212.12 and 9,021.68 is: 12,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.62 : 22,212.12 = 9,021.68 : x
  2. Step 2: Convert to fraction form
    16,096.62/22,212.12 = 9,021.68/x
  3. Step 3: Cross multiply
    16,096.62x = 22,212.12 × 9,021.68
  4. Step 4: Simplify right side
    16,096.62x = 200,390,482.59
  5. Step 5: Solve for x
    x = 200,390,482.59/16,096.62
  6. Step 6: Final answer
    x = 12,449.23

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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.