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Finding the Fourth Proportional to 16,982.63, 23,438.82 and 9,431.40

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Solution

The fourth proportional to 16,982.63, 23,438.82 and 9,431.40 is: 13,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.63 : 23,438.82 = 9,431.40 : x
  2. Step 2: Convert to fraction form
    16,982.63/23,438.82 = 9,431.40/x
  3. Step 3: Cross multiply
    16,982.63x = 23,438.82 × 9,431.40
  4. Step 4: Simplify right side
    16,982.63x = 221,060,886.95
  5. Step 5: Solve for x
    x = 221,060,886.95/16,982.63
  6. Step 6: Final answer
    x = 13,016.89

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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.