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Finding the Fourth Proportional to 19,447.70, 29,170.33 and 9,578.25

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Solution

The fourth proportional to 19,447.70, 29,170.33 and 9,578.25 is: 14,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447.70 : 29,170.33 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    19,447.70/29,170.33 = 9,578.25/x
  3. Step 3: Cross multiply
    19,447.70x = 29,170.33 × 9,578.25
  4. Step 4: Simplify right side
    19,447.70x = 279,400,689.38
  5. Step 5: Solve for x
    x = 279,400,689.38/19,447.70
  6. Step 6: Final answer
    x = 14,366.78

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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.