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Finding the Fourth Proportional to 12,892.85, 19,306.46 and 8,496.98

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Solution

The fourth proportional to 12,892.85, 19,306.46 and 8,496.98 is: 12,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.85 : 19,306.46 = 8,496.98 : x
  2. Step 2: Convert to fraction form
    12,892.85/19,306.46 = 8,496.98/x
  3. Step 3: Cross multiply
    12,892.85x = 19,306.46 × 8,496.98
  4. Step 4: Simplify right side
    12,892.85x = 164,046,604.49
  5. Step 5: Solve for x
    x = 164,046,604.49/12,892.85
  6. Step 6: Final answer
    x = 12,723.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.