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Finding the Fourth Proportional to 12,892.35, 19,305.70 and 8,496.48

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Solution

The fourth proportional to 12,892.35, 19,305.70 and 8,496.48 is: 12,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.35 : 19,305.70 = 8,496.48 : x
  2. Step 2: Convert to fraction form
    12,892.35/19,305.70 = 8,496.48/x
  3. Step 3: Cross multiply
    12,892.35x = 19,305.70 × 8,496.48
  4. Step 4: Simplify right side
    12,892.35x = 164,030,493.94
  5. Step 5: Solve for x
    x = 164,030,493.94/12,892.35
  6. Step 6: Final answer
    x = 12,723.09

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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.