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Finding the Fourth Proportional to 19,513.38, 29,286.45 and 8,428.38

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Solution

The fourth proportional to 19,513.38, 29,286.45 and 8,428.38 is: 12,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.38 : 29,286.45 = 8,428.38 : x
  2. Step 2: Convert to fraction form
    19,513.38/29,286.45 = 8,428.38/x
  3. Step 3: Cross multiply
    19,513.38x = 29,286.45 × 8,428.38
  4. Step 4: Simplify right side
    19,513.38x = 246,837,329.45
  5. Step 5: Solve for x
    x = 246,837,329.45/19,513.38
  6. Step 6: Final answer
    x = 12,649.64

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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.