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Finding the Fourth Proportional to 13,002.12, 17,941.50 and 7,413.12

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Solution

The fourth proportional to 13,002.12, 17,941.50 and 7,413.12 is: 10,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.12 : 17,941.50 = 7,413.12 : x
  2. Step 2: Convert to fraction form
    13,002.12/17,941.50 = 7,413.12/x
  3. Step 3: Cross multiply
    13,002.12x = 17,941.50 × 7,413.12
  4. Step 4: Simplify right side
    13,002.12x = 133,002,492.48
  5. Step 5: Solve for x
    x = 133,002,492.48/13,002.12
  6. Step 6: Final answer
    x = 10,229.29

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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.