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Finding the Fourth Proportional to 19,645.25, 29,473.29 and 5,794.25

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Solution

The fourth proportional to 19,645.25, 29,473.29 and 5,794.25 is: 8,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.25 : 29,473.29 = 5,794.25 : x
  2. Step 2: Convert to fraction form
    19,645.25/29,473.29 = 5,794.25/x
  3. Step 3: Cross multiply
    19,645.25x = 29,473.29 × 5,794.25
  4. Step 4: Simplify right side
    19,645.25x = 170,775,581.61
  5. Step 5: Solve for x
    x = 170,775,581.61/19,645.25
  6. Step 6: Final answer
    x = 8,692.97

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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.