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Finding the Fourth Proportional to 18,911.86, 26,098.14 and 10,413.80

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Solution

The fourth proportional to 18,911.86, 26,098.14 and 10,413.80 is: 14,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911.86 : 26,098.14 = 10,413.80 : x
  2. Step 2: Convert to fraction form
    18,911.86/26,098.14 = 10,413.80/x
  3. Step 3: Cross multiply
    18,911.86x = 26,098.14 × 10,413.80
  4. Step 4: Simplify right side
    18,911.86x = 271,780,810.33
  5. Step 5: Solve for x
    x = 271,780,810.33/18,911.86
  6. Step 6: Final answer
    x = 14,370.92

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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.