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Finding the Fourth Proportional to 17,960.70, 24,783.49 and 10,406.96

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Solution

The fourth proportional to 17,960.70, 24,783.49 and 10,406.96 is: 14,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.70 : 24,783.49 = 10,406.96 : x
  2. Step 2: Convert to fraction form
    17,960.70/24,783.49 = 10,406.96/x
  3. Step 3: Cross multiply
    17,960.70x = 24,783.49 × 10,406.96
  4. Step 4: Simplify right side
    17,960.70x = 257,920,789.09
  5. Step 5: Solve for x
    x = 257,920,789.09/17,960.70
  6. Step 6: Final answer
    x = 14,360.29

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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.