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Finding the Fourth Proportional to 17,683.20, 26,375.81 and 16,458.48

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Solution

The fourth proportional to 17,683.20, 26,375.81 and 16,458.48 is: 24,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.20 : 26,375.81 = 16,458.48 : x
  2. Step 2: Convert to fraction form
    17,683.20/26,375.81 = 16,458.48/x
  3. Step 3: Cross multiply
    17,683.20x = 26,375.81 × 16,458.48
  4. Step 4: Simplify right side
    17,683.20x = 434,105,659.08
  5. Step 5: Solve for x
    x = 434,105,659.08/17,683.20
  6. Step 6: Final answer
    x = 24,549.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.