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Finding the Fourth Proportional to 17,640.92, 24,345.72 and 11,662.20

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Solution

The fourth proportional to 17,640.92, 24,345.72 and 11,662.20 is: 16,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.92 : 24,345.72 = 11,662.20 : x
  2. Step 2: Convert to fraction form
    17,640.92/24,345.72 = 11,662.20/x
  3. Step 3: Cross multiply
    17,640.92x = 24,345.72 × 11,662.20
  4. Step 4: Simplify right side
    17,640.92x = 283,924,655.78
  5. Step 5: Solve for x
    x = 283,924,655.78/17,640.92
  6. Step 6: Final answer
    x = 16,094.66

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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.