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Finding the Fourth Proportional to 22,505.85, 33,762.87 and 7,716.26

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Solution

The fourth proportional to 22,505.85, 33,762.87 and 7,716.26 is: 11,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.85 : 33,762.87 = 7,716.26 : x
  2. Step 2: Convert to fraction form
    22,505.85/33,762.87 = 7,716.26/x
  3. Step 3: Cross multiply
    22,505.85x = 33,762.87 × 7,716.26
  4. Step 4: Simplify right side
    22,505.85x = 260,523,083.27
  5. Step 5: Solve for x
    x = 260,523,083.27/22,505.85
  6. Step 6: Final answer
    x = 11,575.79

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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.