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Finding the Fourth Proportional to 20,505.71, 30,762.66 and 6,467.90

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Solution

The fourth proportional to 20,505.71, 30,762.66 and 6,467.90 is: 9,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.71 : 30,762.66 = 6,467.90 : x
  2. Step 2: Convert to fraction form
    20,505.71/30,762.66 = 6,467.90/x
  3. Step 3: Cross multiply
    20,505.71x = 30,762.66 × 6,467.90
  4. Step 4: Simplify right side
    20,505.71x = 198,969,654.80
  5. Step 5: Solve for x
    x = 198,969,654.80/20,505.71
  6. Step 6: Final answer
    x = 9,703.14

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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.