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Finding the Fourth Proportional to 20,228.52, 30,323.19 and 7,738.93

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Solution

The fourth proportional to 20,228.52, 30,323.19 and 7,738.93 is: 11,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.52 : 30,323.19 = 7,738.93 : x
  2. Step 2: Convert to fraction form
    20,228.52/30,323.19 = 7,738.93/x
  3. Step 3: Cross multiply
    20,228.52x = 30,323.19 × 7,738.93
  4. Step 4: Simplify right side
    20,228.52x = 234,669,044.79
  5. Step 5: Solve for x
    x = 234,669,044.79/20,228.52
  6. Step 6: Final answer
    x = 11,600.90

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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.