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Finding the Fourth Proportional to 20,145.75, 30,218.63 and 7,833.75

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Solution

The fourth proportional to 20,145.75, 30,218.63 and 7,833.75 is: 11,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.75 : 30,218.63 = 7,833.75 : x
  2. Step 2: Convert to fraction form
    20,145.75/30,218.63 = 7,833.75/x
  3. Step 3: Cross multiply
    20,145.75x = 30,218.63 × 7,833.75
  4. Step 4: Simplify right side
    20,145.75x = 236,725,153.59
  5. Step 5: Solve for x
    x = 236,725,153.59/20,145.75
  6. Step 6: Final answer
    x = 11,750.63

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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.