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Finding the Fourth Proportional to 13,514.06, 18,649.22 and 7,545.83

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Solution

The fourth proportional to 13,514.06, 18,649.22 and 7,545.83 is: 10,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.06 : 18,649.22 = 7,545.83 : x
  2. Step 2: Convert to fraction form
    13,514.06/18,649.22 = 7,545.83/x
  3. Step 3: Cross multiply
    13,514.06x = 18,649.22 × 7,545.83
  4. Step 4: Simplify right side
    13,514.06x = 140,723,712.78
  5. Step 5: Solve for x
    x = 140,723,712.78/13,514.06
  6. Step 6: Final answer
    x = 10,413.14

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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.