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Finding the Fourth Proportional to 26,207.88, 39,313.74 and 7,489.50

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Solution

The fourth proportional to 26,207.88, 39,313.74 and 7,489.50 is: 11,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,207.88 : 39,313.74 = 7,489.50 : x
  2. Step 2: Convert to fraction form
    26,207.88/39,313.74 = 7,489.50/x
  3. Step 3: Cross multiply
    26,207.88x = 39,313.74 × 7,489.50
  4. Step 4: Simplify right side
    26,207.88x = 294,440,255.73
  5. Step 5: Solve for x
    x = 294,440,255.73/26,207.88
  6. Step 6: Final answer
    x = 11,234.80

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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.