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Finding the Fourth Proportional to 13,413.98, 20,125.09 and 6,402.94

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Solution

The fourth proportional to 13,413.98, 20,125.09 and 6,402.94 is: 9,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.98 : 20,125.09 = 6,402.94 : x
  2. Step 2: Convert to fraction form
    13,413.98/20,125.09 = 6,402.94/x
  3. Step 3: Cross multiply
    13,413.98x = 20,125.09 × 6,402.94
  4. Step 4: Simplify right side
    13,413.98x = 128,859,743.76
  5. Step 5: Solve for x
    x = 128,859,743.76/13,413.98
  6. Step 6: Final answer
    x = 9,606.38

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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.