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Finding the Fourth Proportional to 23,082.80, 31,855.76 and 12,874.98

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Solution

The fourth proportional to 23,082.80, 31,855.76 and 12,874.98 is: 17,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.80 : 31,855.76 = 12,874.98 : x
  2. Step 2: Convert to fraction form
    23,082.80/31,855.76 = 12,874.98/x
  3. Step 3: Cross multiply
    23,082.80x = 31,855.76 × 12,874.98
  4. Step 4: Simplify right side
    23,082.80x = 410,142,272.88
  5. Step 5: Solve for x
    x = 410,142,272.88/23,082.80
  6. Step 6: Final answer
    x = 17,768.31

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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.