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Finding the Fourth Proportional to 19,509.38, 29,265.39 and 6,857.60

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Solution

The fourth proportional to 19,509.38, 29,265.39 and 6,857.60 is: 10,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.38 : 29,265.39 = 6,857.60 : x
  2. Step 2: Convert to fraction form
    19,509.38/29,265.39 = 6,857.60/x
  3. Step 3: Cross multiply
    19,509.38x = 29,265.39 × 6,857.60
  4. Step 4: Simplify right side
    19,509.38x = 200,690,364.18
  5. Step 5: Solve for x
    x = 200,690,364.18/19,509.38
  6. Step 6: Final answer
    x = 10,286.87

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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.