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Finding the Fourth Proportional to 22,662.16, 34,014.86 and 13,914.16

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Solution

The fourth proportional to 22,662.16, 34,014.86 and 13,914.16 is: 20,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.16 : 34,014.86 = 13,914.16 : x
  2. Step 2: Convert to fraction form
    22,662.16/34,014.86 = 13,914.16/x
  3. Step 3: Cross multiply
    22,662.16x = 34,014.86 × 13,914.16
  4. Step 4: Simplify right side
    22,662.16x = 473,288,134.85
  5. Step 5: Solve for x
    x = 473,288,134.85/22,662.16
  6. Step 6: Final answer
    x = 20,884.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.