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Finding the Fourth Proportional to 26,564.40, 39,828.11 and 11,765.30

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Solution

The fourth proportional to 26,564.40, 39,828.11 and 11,765.30 is: 17,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.40 : 39,828.11 = 11,765.30 : x
  2. Step 2: Convert to fraction form
    26,564.40/39,828.11 = 11,765.30/x
  3. Step 3: Cross multiply
    26,564.40x = 39,828.11 × 11,765.30
  4. Step 4: Simplify right side
    26,564.40x = 468,589,404.62
  5. Step 5: Solve for x
    x = 468,589,404.62/26,564.40
  6. Step 6: Final answer
    x = 17,639.75

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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.