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Finding the Fourth Proportional to 26,324.50, 39,493.59 and 7,856.50

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Solution

The fourth proportional to 26,324.50, 39,493.59 and 7,856.50 is: 11,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324.50 : 39,493.59 = 7,856.50 : x
  2. Step 2: Convert to fraction form
    26,324.50/39,493.59 = 7,856.50/x
  3. Step 3: Cross multiply
    26,324.50x = 39,493.59 × 7,856.50
  4. Step 4: Simplify right side
    26,324.50x = 310,281,389.84
  5. Step 5: Solve for x
    x = 310,281,389.84/26,324.50
  6. Step 6: Final answer
    x = 11,786.79

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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.