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Finding the Fourth Proportional to 16,102.14, 22,224.14 and 9,388.84

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Solution

The fourth proportional to 16,102.14, 22,224.14 and 9,388.84 is: 12,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.14 : 22,224.14 = 9,388.84 : x
  2. Step 2: Convert to fraction form
    16,102.14/22,224.14 = 9,388.84/x
  3. Step 3: Cross multiply
    16,102.14x = 22,224.14 × 9,388.84
  4. Step 4: Simplify right side
    16,102.14x = 208,658,847.65
  5. Step 5: Solve for x
    x = 208,658,847.65/16,102.14
  6. Step 6: Final answer
    x = 12,958.46

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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.