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Finding the Fourth Proportional to 17,909.46, 26,865.54 and 4,761.54

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Solution

The fourth proportional to 17,909.46, 26,865.54 and 4,761.54 is: 7,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.46 : 26,865.54 = 4,761.54 : x
  2. Step 2: Convert to fraction form
    17,909.46/26,865.54 = 4,761.54/x
  3. Step 3: Cross multiply
    17,909.46x = 26,865.54 × 4,761.54
  4. Step 4: Simplify right side
    17,909.46x = 127,921,343.33
  5. Step 5: Solve for x
    x = 127,921,343.33/17,909.46
  6. Step 6: Final answer
    x = 7,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.