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Finding the Fourth Proportional to 26,613, 39,919.50 and 11,031.12

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Solution

The fourth proportional to 26,613, 39,919.50 and 11,031.12 is: 16,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,613 : 39,919.50 = 11,031.12 : x
  2. Step 2: Convert to fraction form
    26,613/39,919.50 = 11,031.12/x
  3. Step 3: Cross multiply
    26,613x = 39,919.50 × 11,031.12
  4. Step 4: Simplify right side
    26,613x = 440,356,794.84
  5. Step 5: Solve for x
    x = 440,356,794.84/26,613
  6. Step 6: Final answer
    x = 16,546.68

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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.