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Finding the Fourth Proportional to 20,157.34, 30,240.78 and 19,822.64

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Solution

The fourth proportional to 20,157.34, 30,240.78 and 19,822.64 is: 29,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.34 : 30,240.78 = 19,822.64 : x
  2. Step 2: Convert to fraction form
    20,157.34/30,240.78 = 19,822.64/x
  3. Step 3: Cross multiply
    20,157.34x = 30,240.78 × 19,822.64
  4. Step 4: Simplify right side
    20,157.34x = 599,452,095.26
  5. Step 5: Solve for x
    x = 599,452,095.26/20,157.34
  6. Step 6: Final answer
    x = 29,738.65

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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.