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Finding the Fourth Proportional to 29,814.14, 44,716.40 and 7,626.36

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Solution

The fourth proportional to 29,814.14, 44,716.40 and 7,626.36 is: 11,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.14 : 44,716.40 = 7,626.36 : x
  2. Step 2: Convert to fraction form
    29,814.14/44,716.40 = 7,626.36/x
  3. Step 3: Cross multiply
    29,814.14x = 44,716.40 × 7,626.36
  4. Step 4: Simplify right side
    29,814.14x = 341,023,364.30
  5. Step 5: Solve for x
    x = 341,023,364.30/29,814.14
  6. Step 6: Final answer
    x = 11,438.31

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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.