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Finding the Fourth Proportional to 17,728.43, 24,465.38 and 9,770.67

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Solution

The fourth proportional to 17,728.43, 24,465.38 and 9,770.67 is: 13,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.43 : 24,465.38 = 9,770.67 : x
  2. Step 2: Convert to fraction form
    17,728.43/24,465.38 = 9,770.67/x
  3. Step 3: Cross multiply
    17,728.43x = 24,465.38 × 9,770.67
  4. Step 4: Simplify right side
    17,728.43x = 239,043,105.55
  5. Step 5: Solve for x
    x = 239,043,105.55/17,728.43
  6. Step 6: Final answer
    x = 13,483.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.