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Finding the Fourth Proportional to 13,382.34, 18,466.92 and 7,413.54

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Solution

The fourth proportional to 13,382.34, 18,466.92 and 7,413.54 is: 10,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.34 : 18,466.92 = 7,413.54 : x
  2. Step 2: Convert to fraction form
    13,382.34/18,466.92 = 7,413.54/x
  3. Step 3: Cross multiply
    13,382.34x = 18,466.92 × 7,413.54
  4. Step 4: Simplify right side
    13,382.34x = 136,905,250.10
  5. Step 5: Solve for x
    x = 136,905,250.10/13,382.34
  6. Step 6: Final answer
    x = 10,230.29

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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.