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Finding the Fourth Proportional to 26,205.70, 39,302.46 and 7,485.24

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Solution

The fourth proportional to 26,205.70, 39,302.46 and 7,485.24 is: 11,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.70 : 39,302.46 = 7,485.24 : x
  2. Step 2: Convert to fraction form
    26,205.70/39,302.46 = 7,485.24/x
  3. Step 3: Cross multiply
    26,205.70x = 39,302.46 × 7,485.24
  4. Step 4: Simplify right side
    26,205.70x = 294,188,345.69
  5. Step 5: Solve for x
    x = 294,188,345.69/26,205.70
  6. Step 6: Final answer
    x = 11,226.12

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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.