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Finding the Fourth Proportional to 13,205.97, 19,808.97 and 12,331.17

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Solution

The fourth proportional to 13,205.97, 19,808.97 and 12,331.17 is: 18,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.97 : 19,808.97 = 12,331.17 : x
  2. Step 2: Convert to fraction form
    13,205.97/19,808.97 = 12,331.17/x
  3. Step 3: Cross multiply
    13,205.97x = 19,808.97 × 12,331.17
  4. Step 4: Simplify right side
    13,205.97x = 244,267,776.59
  5. Step 5: Solve for x
    x = 244,267,776.59/13,205.97
  6. Step 6: Final answer
    x = 18,496.77

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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.