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Finding the Fourth Proportional to 17,650.30, 24,348.86 and 11,686.96

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Solution

The fourth proportional to 17,650.30, 24,348.86 and 11,686.96 is: 16,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.30 : 24,348.86 = 11,686.96 : x
  2. Step 2: Convert to fraction form
    17,650.30/24,348.86 = 11,686.96/x
  3. Step 3: Cross multiply
    17,650.30x = 24,348.86 × 11,686.96
  4. Step 4: Simplify right side
    17,650.30x = 284,564,152.87
  5. Step 5: Solve for x
    x = 284,564,152.87/17,650.30
  6. Step 6: Final answer
    x = 16,122.34

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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.