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Finding the Fourth Proportional to 13,833.86, 19,091.03 and 7,546.23

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Solution

The fourth proportional to 13,833.86, 19,091.03 and 7,546.23 is: 10,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.86 : 19,091.03 = 7,546.23 : x
  2. Step 2: Convert to fraction form
    13,833.86/19,091.03 = 7,546.23/x
  3. Step 3: Cross multiply
    13,833.86x = 19,091.03 × 7,546.23
  4. Step 4: Simplify right side
    13,833.86x = 144,065,265.59
  5. Step 5: Solve for x
    x = 144,065,265.59/13,833.86
  6. Step 6: Final answer
    x = 10,413.96

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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.