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Finding the Fourth Proportional to 26,550.28, 39,827.22 and 9,910

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Solution

The fourth proportional to 26,550.28, 39,827.22 and 9,910 is: 14,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,550.28 : 39,827.22 = 9,910 : x
  2. Step 2: Convert to fraction form
    26,550.28/39,827.22 = 9,910/x
  3. Step 3: Cross multiply
    26,550.28x = 39,827.22 × 9,910
  4. Step 4: Simplify right side
    26,550.28x = 394,687,750.20
  5. Step 5: Solve for x
    x = 394,687,750.20/26,550.28
  6. Step 6: Final answer
    x = 14,865.67

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