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Finding the Fourth Proportional to 12,581.42, 17,363.16 and 7,545.85

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Solution

The fourth proportional to 12,581.42, 17,363.16 and 7,545.85 is: 10,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.42 : 17,363.16 = 7,545.85 : x
  2. Step 2: Convert to fraction form
    12,581.42/17,363.16 = 7,545.85/x
  3. Step 3: Cross multiply
    12,581.42x = 17,363.16 × 7,545.85
  4. Step 4: Simplify right side
    12,581.42x = 131,019,757.48
  5. Step 5: Solve for x
    x = 131,019,757.48/12,581.42
  6. Step 6: Final answer
    x = 10,413.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.