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Finding the Fourth Proportional to 20,338.40, 30,464.40 and 16,882.40

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Solution

The fourth proportional to 20,338.40, 30,464.40 and 16,882.40 is: 25,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.40 : 30,464.40 = 16,882.40 : x
  2. Step 2: Convert to fraction form
    20,338.40/30,464.40 = 16,882.40/x
  3. Step 3: Cross multiply
    20,338.40x = 30,464.40 × 16,882.40
  4. Step 4: Simplify right side
    20,338.40x = 514,312,186.56
  5. Step 5: Solve for x
    x = 514,312,186.56/20,338.40
  6. Step 6: Final answer
    x = 25,287.74

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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.