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Finding the Fourth Proportional to 13,413.70, 20,120.65 and 5,091.47

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Solution

The fourth proportional to 13,413.70, 20,120.65 and 5,091.47 is: 7,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.70 : 20,120.65 = 5,091.47 : x
  2. Step 2: Convert to fraction form
    13,413.70/20,120.65 = 5,091.47/x
  3. Step 3: Cross multiply
    13,413.70x = 20,120.65 × 5,091.47
  4. Step 4: Simplify right side
    13,413.70x = 102,443,789.79
  5. Step 5: Solve for x
    x = 102,443,789.79/13,413.70
  6. Step 6: Final answer
    x = 7,637.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.