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Finding the Fourth Proportional to 17,657.57, 24,383.07 and 12,013.29

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Solution

The fourth proportional to 17,657.57, 24,383.07 and 12,013.29 is: 16,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.57 : 24,383.07 = 12,013.29 : x
  2. Step 2: Convert to fraction form
    17,657.57/24,383.07 = 12,013.29/x
  3. Step 3: Cross multiply
    17,657.57x = 24,383.07 × 12,013.29
  4. Step 4: Simplify right side
    17,657.57x = 292,920,891.00
  5. Step 5: Solve for x
    x = 292,920,891.00/17,657.57
  6. Step 6: Final answer
    x = 16,588.97

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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.