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Finding the Fourth Proportional to 20,242.83, 30,367.71 and 6,915.09

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Solution

The fourth proportional to 20,242.83, 30,367.71 and 6,915.09 is: 10,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.83 : 30,367.71 = 6,915.09 : x
  2. Step 2: Convert to fraction form
    20,242.83/30,367.71 = 6,915.09/x
  3. Step 3: Cross multiply
    20,242.83x = 30,367.71 × 6,915.09
  4. Step 4: Simplify right side
    20,242.83x = 209,995,561.62
  5. Step 5: Solve for x
    x = 209,995,561.62/20,242.83
  6. Step 6: Final answer
    x = 10,373.82

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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.