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Finding the Fourth Proportional to 23,022.28, 31,770.90 and 12,950.64

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Solution

The fourth proportional to 23,022.28, 31,770.90 and 12,950.64 is: 17,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.28 : 31,770.90 = 12,950.64 : x
  2. Step 2: Convert to fraction form
    23,022.28/31,770.90 = 12,950.64/x
  3. Step 3: Cross multiply
    23,022.28x = 31,770.90 × 12,950.64
  4. Step 4: Simplify right side
    23,022.28x = 411,453,488.38
  5. Step 5: Solve for x
    x = 411,453,488.38/23,022.28
  6. Step 6: Final answer
    x = 17,871.97

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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.