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Finding the Fourth Proportional to 23,022.67, 31,774.10 and 12,951.54

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Solution

The fourth proportional to 23,022.67, 31,774.10 and 12,951.54 is: 17,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.67 : 31,774.10 = 12,951.54 : x
  2. Step 2: Convert to fraction form
    23,022.67/31,774.10 = 12,951.54/x
  3. Step 3: Cross multiply
    23,022.67x = 31,774.10 × 12,951.54
  4. Step 4: Simplify right side
    23,022.67x = 411,523,527.11
  5. Step 5: Solve for x
    x = 411,523,527.11/23,022.67
  6. Step 6: Final answer
    x = 17,874.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.