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Finding the Fourth Proportional to 13,413.48, 20,124.34 and 6,402.44

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Solution

The fourth proportional to 13,413.48, 20,124.34 and 6,402.44 is: 9,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.48 : 20,124.34 = 6,402.44 : x
  2. Step 2: Convert to fraction form
    13,413.48/20,124.34 = 6,402.44/x
  3. Step 3: Cross multiply
    13,413.48x = 20,124.34 × 6,402.44
  4. Step 4: Simplify right side
    13,413.48x = 128,844,879.39
  5. Step 5: Solve for x
    x = 128,844,879.39/13,413.48
  6. Step 6: Final answer
    x = 9,605.63

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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.