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Finding the Fourth Proportional to 26,564.38, 39,840.19 and 7,839.35

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Solution

The fourth proportional to 26,564.38, 39,840.19 and 7,839.35 is: 11,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.38 : 39,840.19 = 7,839.35 : x
  2. Step 2: Convert to fraction form
    26,564.38/39,840.19 = 7,839.35/x
  3. Step 3: Cross multiply
    26,564.38x = 39,840.19 × 7,839.35
  4. Step 4: Simplify right side
    26,564.38x = 312,321,193.48
  5. Step 5: Solve for x
    x = 312,321,193.48/26,564.38
  6. Step 6: Final answer
    x = 11,757.14

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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.