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Finding the Fourth Proportional to 19,545.25, 29,317.87 and 7,855.73

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Solution

The fourth proportional to 19,545.25, 29,317.87 and 7,855.73 is: 11,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,545.25 : 29,317.87 = 7,855.73 : x
  2. Step 2: Convert to fraction form
    19,545.25/29,317.87 = 7,855.73/x
  3. Step 3: Cross multiply
    19,545.25x = 29,317.87 × 7,855.73
  4. Step 4: Simplify right side
    19,545.25x = 230,313,431.07
  5. Step 5: Solve for x
    x = 230,313,431.07/19,545.25
  6. Step 6: Final answer
    x = 11,783.60

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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.