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Finding the Fourth Proportional to 29,234.40, 43,858.14 and 13,643.52

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Solution

The fourth proportional to 29,234.40, 43,858.14 and 13,643.52 is: 20,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.40 : 43,858.14 = 13,643.52 : x
  2. Step 2: Convert to fraction form
    29,234.40/43,858.14 = 13,643.52/x
  3. Step 3: Cross multiply
    29,234.40x = 43,858.14 × 13,643.52
  4. Step 4: Simplify right side
    29,234.40x = 598,379,410.25
  5. Step 5: Solve for x
    x = 598,379,410.25/29,234.40
  6. Step 6: Final answer
    x = 20,468.33

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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.