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Finding the Fourth Proportional to 23,174.73, 31,977.78 and 12,965.70

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Solution

The fourth proportional to 23,174.73, 31,977.78 and 12,965.70 is: 17,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.73 : 31,977.78 = 12,965.70 : x
  2. Step 2: Convert to fraction form
    23,174.73/31,977.78 = 12,965.70/x
  3. Step 3: Cross multiply
    23,174.73x = 31,977.78 × 12,965.70
  4. Step 4: Simplify right side
    23,174.73x = 414,614,302.15
  5. Step 5: Solve for x
    x = 414,614,302.15/23,174.73
  6. Step 6: Final answer
    x = 17,890.79

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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.