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Finding the Fourth Proportional to 16,864.14, 23,271.90 and 9,310.31

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Solution

The fourth proportional to 16,864.14, 23,271.90 and 9,310.31 is: 12,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.14 : 23,271.90 = 9,310.31 : x
  2. Step 2: Convert to fraction form
    16,864.14/23,271.90 = 9,310.31/x
  3. Step 3: Cross multiply
    16,864.14x = 23,271.90 × 9,310.31
  4. Step 4: Simplify right side
    16,864.14x = 216,668,452.02
  5. Step 5: Solve for x
    x = 216,668,452.02/16,864.14
  6. Step 6: Final answer
    x = 12,847.88

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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.