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Finding the Fourth Proportional to 20,522.71, 30,784.07 and 4,940.34

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Solution

The fourth proportional to 20,522.71, 30,784.07 and 4,940.34 is: 7,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.71 : 30,784.07 = 4,940.34 : x
  2. Step 2: Convert to fraction form
    20,522.71/30,784.07 = 4,940.34/x
  3. Step 3: Cross multiply
    20,522.71x = 30,784.07 × 4,940.34
  4. Step 4: Simplify right side
    20,522.71x = 152,083,772.38
  5. Step 5: Solve for x
    x = 152,083,772.38/20,522.71
  6. Step 6: Final answer
    x = 7,410.51

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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.