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Finding the Fourth Proportional to 19,282.40, 28,940 and 13,749.28

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Solution

The fourth proportional to 19,282.40, 28,940 and 13,749.28 is: 20,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.40 : 28,940 = 13,749.28 : x
  2. Step 2: Convert to fraction form
    19,282.40/28,940 = 13,749.28/x
  3. Step 3: Cross multiply
    19,282.40x = 28,940 × 13,749.28
  4. Step 4: Simplify right side
    19,282.40x = 397,904,163.20
  5. Step 5: Solve for x
    x = 397,904,163.20/19,282.40
  6. Step 6: Final answer
    x = 20,635.61

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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.