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Finding the Fourth Proportional to 16,983.60, 23,438.85 and 9,431.40

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Solution

The fourth proportional to 16,983.60, 23,438.85 and 9,431.40 is: 13,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.60 : 23,438.85 = 9,431.40 : x
  2. Step 2: Convert to fraction form
    16,983.60/23,438.85 = 9,431.40/x
  3. Step 3: Cross multiply
    16,983.60x = 23,438.85 × 9,431.40
  4. Step 4: Simplify right side
    16,983.60x = 221,061,169.89
  5. Step 5: Solve for x
    x = 221,061,169.89/16,983.60
  6. Step 6: Final answer
    x = 13,016.15

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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.