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Finding the Fourth Proportional to 14,413.27, 19,894.74 and 8,446.86

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Solution

The fourth proportional to 14,413.27, 19,894.74 and 8,446.86 is: 11,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.27 : 19,894.74 = 8,446.86 : x
  2. Step 2: Convert to fraction form
    14,413.27/19,894.74 = 8,446.86/x
  3. Step 3: Cross multiply
    14,413.27x = 19,894.74 × 8,446.86
  4. Step 4: Simplify right side
    14,413.27x = 168,048,083.52
  5. Step 5: Solve for x
    x = 168,048,083.52/14,413.27
  6. Step 6: Final answer
    x = 11,659.26

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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.