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Finding the Fourth Proportional to 13,381.56, 18,466.36 and 7,413.20

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Solution

The fourth proportional to 13,381.56, 18,466.36 and 7,413.20 is: 10,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.56 : 18,466.36 = 7,413.20 : x
  2. Step 2: Convert to fraction form
    13,381.56/18,466.36 = 7,413.20/x
  3. Step 3: Cross multiply
    13,381.56x = 18,466.36 × 7,413.20
  4. Step 4: Simplify right side
    13,381.56x = 136,894,819.95
  5. Step 5: Solve for x
    x = 136,894,819.95/13,381.56
  6. Step 6: Final answer
    x = 10,230.11

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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.