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Finding the Fourth Proportional to 26,205.30, 39,313.14 and 7,485.50

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Solution

The fourth proportional to 26,205.30, 39,313.14 and 7,485.50 is: 11,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.30 : 39,313.14 = 7,485.50 : x
  2. Step 2: Convert to fraction form
    26,205.30/39,313.14 = 7,485.50/x
  3. Step 3: Cross multiply
    26,205.30x = 39,313.14 × 7,485.50
  4. Step 4: Simplify right side
    26,205.30x = 294,278,462.03
  5. Step 5: Solve for x
    x = 294,278,462.03/26,205.30
  6. Step 6: Final answer
    x = 11,229.73

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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.