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Finding the Fourth Proportional to 20,454.33, 30,681.88 and 6,414.05

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Solution

The fourth proportional to 20,454.33, 30,681.88 and 6,414.05 is: 9,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.33 : 30,681.88 = 6,414.05 : x
  2. Step 2: Convert to fraction form
    20,454.33/30,681.88 = 6,414.05/x
  3. Step 3: Cross multiply
    20,454.33x = 30,681.88 × 6,414.05
  4. Step 4: Simplify right side
    20,454.33x = 196,794,926.93
  5. Step 5: Solve for x
    x = 196,794,926.93/20,454.33
  6. Step 6: Final answer
    x = 9,621.19

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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.