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Finding the Fourth Proportional to 23,022, 31,770.72 and 14,649.84

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Solution

The fourth proportional to 23,022, 31,770.72 and 14,649.84 is: 20,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022 : 31,770.72 = 14,649.84 : x
  2. Step 2: Convert to fraction form
    23,022/31,770.72 = 14,649.84/x
  3. Step 3: Cross multiply
    23,022x = 31,770.72 × 14,649.84
  4. Step 4: Simplify right side
    23,022x = 465,435,964.68
  5. Step 5: Solve for x
    x = 465,435,964.68/23,022
  6. Step 6: Final answer
    x = 20,217.01

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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.