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Finding the Fourth Proportional to 20,419.68, 30,633.84 and 7,276.08

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Solution

The fourth proportional to 20,419.68, 30,633.84 and 7,276.08 is: 10,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.68 : 30,633.84 = 7,276.08 : x
  2. Step 2: Convert to fraction form
    20,419.68/30,633.84 = 7,276.08/x
  3. Step 3: Cross multiply
    20,419.68x = 30,633.84 × 7,276.08
  4. Step 4: Simplify right side
    20,419.68x = 222,894,270.55
  5. Step 5: Solve for x
    x = 222,894,270.55/20,419.68
  6. Step 6: Final answer
    x = 10,915.66

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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.