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Finding the Fourth Proportional to 17,284.70, 23,853.33 and 9,731.30

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Solution

The fourth proportional to 17,284.70, 23,853.33 and 9,731.30 is: 13,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.70 : 23,853.33 = 9,731.30 : x
  2. Step 2: Convert to fraction form
    17,284.70/23,853.33 = 9,731.30/x
  3. Step 3: Cross multiply
    17,284.70x = 23,853.33 × 9,731.30
  4. Step 4: Simplify right side
    17,284.70x = 232,123,910.23
  5. Step 5: Solve for x
    x = 232,123,910.23/17,284.70
  6. Step 6: Final answer
    x = 13,429.44

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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.