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Finding the Fourth Proportional to 20,292.48, 30,438.39 and 7,815.24

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Solution

The fourth proportional to 20,292.48, 30,438.39 and 7,815.24 is: 11,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292.48 : 30,438.39 = 7,815.24 : x
  2. Step 2: Convert to fraction form
    20,292.48/30,438.39 = 7,815.24/x
  3. Step 3: Cross multiply
    20,292.48x = 30,438.39 × 7,815.24
  4. Step 4: Simplify right side
    20,292.48x = 237,883,323.06
  5. Step 5: Solve for x
    x = 237,883,323.06/20,292.48
  6. Step 6: Final answer
    x = 11,722.73

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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.