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Finding the Fourth Proportional to 16,863.96, 23,271.30 and 9,694.20

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Solution

The fourth proportional to 16,863.96, 23,271.30 and 9,694.20 is: 13,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.96 : 23,271.30 = 9,694.20 : x
  2. Step 2: Convert to fraction form
    16,863.96/23,271.30 = 9,694.20/x
  3. Step 3: Cross multiply
    16,863.96x = 23,271.30 × 9,694.20
  4. Step 4: Simplify right side
    16,863.96x = 225,596,636.46
  5. Step 5: Solve for x
    x = 225,596,636.46/16,863.96
  6. Step 6: Final answer
    x = 13,377.44

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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.