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Finding the Fourth Proportional to 19,286.69, 28,930.86 and 9,434.25

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Solution

The fourth proportional to 19,286.69, 28,930.86 and 9,434.25 is: 14,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.69 : 28,930.86 = 9,434.25 : x
  2. Step 2: Convert to fraction form
    19,286.69/28,930.86 = 9,434.25/x
  3. Step 3: Cross multiply
    19,286.69x = 28,930.86 × 9,434.25
  4. Step 4: Simplify right side
    19,286.69x = 272,940,965.96
  5. Step 5: Solve for x
    x = 272,940,965.96/19,286.69
  6. Step 6: Final answer
    x = 14,151.78

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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.