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Finding the Fourth Proportional to 16,871.94, 23,282.82 and 9,318.06

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Solution

The fourth proportional to 16,871.94, 23,282.82 and 9,318.06 is: 12,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.94 : 23,282.82 = 9,318.06 : x
  2. Step 2: Convert to fraction form
    16,871.94/23,282.82 = 9,318.06/x
  3. Step 3: Cross multiply
    16,871.94x = 23,282.82 × 9,318.06
  4. Step 4: Simplify right side
    16,871.94x = 216,950,713.73
  5. Step 5: Solve for x
    x = 216,950,713.73/16,871.94
  6. Step 6: Final answer
    x = 12,858.67

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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.