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Finding the Fourth Proportional to 16,207.57, 24,283.69 and 11,504.31

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Solution

The fourth proportional to 16,207.57, 24,283.69 and 11,504.31 is: 17,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.57 : 24,283.69 = 11,504.31 : x
  2. Step 2: Convert to fraction form
    16,207.57/24,283.69 = 11,504.31/x
  3. Step 3: Cross multiply
    16,207.57x = 24,283.69 × 11,504.31
  4. Step 4: Simplify right side
    16,207.57x = 279,367,097.70
  5. Step 5: Solve for x
    x = 279,367,097.70/16,207.57
  6. Step 6: Final answer
    x = 17,236.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.